What is the Least Common Multiple of 27132 and 27152?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 27132 and 27152 is 184172016.
LCM(27132,27152) = 184172016
Least Common Multiple of 27132 and 27152 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27132 and 27152, than apply into the LCM equation.
GCF(27132,27152) = 4
LCM(27132,27152) = ( 27132 × 27152) / 4
LCM(27132,27152) = 736688064 / 4
LCM(27132,27152) = 184172016
Least Common Multiple (LCM) of 27132 and 27152 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27132 and 27152. First we will calculate the prime factors of 27132 and 27152.
Prime Factorization of 27132
Prime factors of 27132 are 2, 3, 7, 17, 19. Prime factorization of 27132 in exponential form is:
27132 = 22 × 31 × 71 × 171 × 191
Prime Factorization of 27152
Prime factors of 27152 are 2, 1697. Prime factorization of 27152 in exponential form is:
27152 = 24 × 16971
Now multiplying the highest exponent prime factors to calculate the LCM of 27132 and 27152.
LCM(27132,27152) = 24 × 31 × 71 × 171 × 191 × 16971
LCM(27132,27152) = 184172016
Related Least Common Multiples of 27132
- LCM of 27132 and 27136
- LCM of 27132 and 27137
- LCM of 27132 and 27138
- LCM of 27132 and 27139
- LCM of 27132 and 27140
- LCM of 27132 and 27141
- LCM of 27132 and 27142
- LCM of 27132 and 27143
- LCM of 27132 and 27144
- LCM of 27132 and 27145
- LCM of 27132 and 27146
- LCM of 27132 and 27147
- LCM of 27132 and 27148
- LCM of 27132 and 27149
- LCM of 27132 and 27150
- LCM of 27132 and 27151
- LCM of 27132 and 27152
Related Least Common Multiples of 27152
- LCM of 27152 and 27156
- LCM of 27152 and 27157
- LCM of 27152 and 27158
- LCM of 27152 and 27159
- LCM of 27152 and 27160
- LCM of 27152 and 27161
- LCM of 27152 and 27162
- LCM of 27152 and 27163
- LCM of 27152 and 27164
- LCM of 27152 and 27165
- LCM of 27152 and 27166
- LCM of 27152 and 27167
- LCM of 27152 and 27168
- LCM of 27152 and 27169
- LCM of 27152 and 27170
- LCM of 27152 and 27171
- LCM of 27152 and 27172