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What is the Least Common Multiple of 61156 and 61169?

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 61156 and 61169 is 3740851364.

LCM(61156,61169) = 3740851364

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Least Common Multiple of 61156 and 61169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61156 and 61169, than apply into the LCM equation.

GCF(61156,61169) = 1
LCM(61156,61169) = ( 61156 × 61169) / 1
LCM(61156,61169) = 3740851364 / 1
LCM(61156,61169) = 3740851364

Least Common Multiple (LCM) of 61156 and 61169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61156 and 61169. First we will calculate the prime factors of 61156 and 61169.

Prime Factorization of 61156

Prime factors of 61156 are 2, 15289. Prime factorization of 61156 in exponential form is:

61156 = 22 × 152891

Prime Factorization of 61169

Prime factors of 61169 are 61169. Prime factorization of 61169 in exponential form is:

61169 = 611691

Now multiplying the highest exponent prime factors to calculate the LCM of 61156 and 61169.

LCM(61156,61169) = 22 × 152891 × 611691
LCM(61156,61169) = 3740851364