What is the Least Common Multiple of 79137 and 79157?
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 79137 and 79157 is 6264247509.
LCM(79137,79157) = 6264247509
Least Common Multiple of 79137 and 79157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79137 and 79157, than apply into the LCM equation.
GCF(79137,79157) = 1
LCM(79137,79157) = ( 79137 × 79157) / 1
LCM(79137,79157) = 6264247509 / 1
LCM(79137,79157) = 6264247509
Least Common Multiple (LCM) of 79137 and 79157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79137 and 79157. First we will calculate the prime factors of 79137 and 79157.
Prime Factorization of 79137
Prime factors of 79137 are 3, 977. Prime factorization of 79137 in exponential form is:
79137 = 34 × 9771
Prime Factorization of 79157
Prime factors of 79157 are 13, 6089. Prime factorization of 79157 in exponential form is:
79157 = 131 × 60891
Now multiplying the highest exponent prime factors to calculate the LCM of 79137 and 79157.
LCM(79137,79157) = 34 × 9771 × 131 × 60891
LCM(79137,79157) = 6264247509
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