What is the Least Common Multiple of 7141 and 7150?
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 7141 and 7150 is 51058150.
LCM(7141,7150) = 51058150
Least Common Multiple of 7141 and 7150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7141 and 7150, than apply into the LCM equation.
GCF(7141,7150) = 1
LCM(7141,7150) = ( 7141 × 7150) / 1
LCM(7141,7150) = 51058150 / 1
LCM(7141,7150) = 51058150
Least Common Multiple (LCM) of 7141 and 7150 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7141 and 7150. First we will calculate the prime factors of 7141 and 7150.
Prime Factorization of 7141
Prime factors of 7141 are 37, 193. Prime factorization of 7141 in exponential form is:
7141 = 371 × 1931
Prime Factorization of 7150
Prime factors of 7150 are 2, 5, 11, 13. Prime factorization of 7150 in exponential form is:
7150 = 21 × 52 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 7141 and 7150.
LCM(7141,7150) = 371 × 1931 × 21 × 52 × 111 × 131
LCM(7141,7150) = 51058150
Related Least Common Multiples of 7141
- LCM of 7141 and 7145
- LCM of 7141 and 7146
- LCM of 7141 and 7147
- LCM of 7141 and 7148
- LCM of 7141 and 7149
- LCM of 7141 and 7150
- LCM of 7141 and 7151
- LCM of 7141 and 7152
- LCM of 7141 and 7153
- LCM of 7141 and 7154
- LCM of 7141 and 7155
- LCM of 7141 and 7156
- LCM of 7141 and 7157
- LCM of 7141 and 7158
- LCM of 7141 and 7159
- LCM of 7141 and 7160
- LCM of 7141 and 7161
Related Least Common Multiples of 7150
- LCM of 7150 and 7154
- LCM of 7150 and 7155
- LCM of 7150 and 7156
- LCM of 7150 and 7157
- LCM of 7150 and 7158
- LCM of 7150 and 7159
- LCM of 7150 and 7160
- LCM of 7150 and 7161
- LCM of 7150 and 7162
- LCM of 7150 and 7163
- LCM of 7150 and 7164
- LCM of 7150 and 7165
- LCM of 7150 and 7166
- LCM of 7150 and 7167
- LCM of 7150 and 7168
- LCM of 7150 and 7169
- LCM of 7150 and 7170