What is the Least Common Multiple of 56156 and 56161?
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 56156 and 56161 is 3153777116.
LCM(56156,56161) = 3153777116
Least Common Multiple of 56156 and 56161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56156 and 56161, than apply into the LCM equation.
GCF(56156,56161) = 1
LCM(56156,56161) = ( 56156 × 56161) / 1
LCM(56156,56161) = 3153777116 / 1
LCM(56156,56161) = 3153777116
Least Common Multiple (LCM) of 56156 and 56161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56156 and 56161. First we will calculate the prime factors of 56156 and 56161.
Prime Factorization of 56156
Prime factors of 56156 are 2, 101, 139. Prime factorization of 56156 in exponential form is:
56156 = 22 × 1011 × 1391
Prime Factorization of 56161
Prime factors of 56161 are 7, 71, 113. Prime factorization of 56161 in exponential form is:
56161 = 71 × 711 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 56156 and 56161.
LCM(56156,56161) = 22 × 1011 × 1391 × 71 × 711 × 1131
LCM(56156,56161) = 3153777116
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