What is the Least Common Multiple of 43153 and 43158?
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 43153 and 43158 is 1862397174.
LCM(43153,43158) = 1862397174
Least Common Multiple of 43153 and 43158 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43153 and 43158, than apply into the LCM equation.
GCF(43153,43158) = 1
LCM(43153,43158) = ( 43153 × 43158) / 1
LCM(43153,43158) = 1862397174 / 1
LCM(43153,43158) = 1862397174
Least Common Multiple (LCM) of 43153 and 43158 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43153 and 43158. First we will calculate the prime factors of 43153 and 43158.
Prime Factorization of 43153
Prime factors of 43153 are 11, 3923. Prime factorization of 43153 in exponential form is:
43153 = 111 × 39231
Prime Factorization of 43158
Prime factors of 43158 are 2, 3, 7193. Prime factorization of 43158 in exponential form is:
43158 = 21 × 31 × 71931
Now multiplying the highest exponent prime factors to calculate the LCM of 43153 and 43158.
LCM(43153,43158) = 111 × 39231 × 21 × 31 × 71931
LCM(43153,43158) = 1862397174
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