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What is the Least Common Multiple of 61159 and 61166?

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 61159 and 61166 is 534407342.

LCM(61159,61166) = 534407342

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Least Common Multiple of 61159 and 61166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61159 and 61166, than apply into the LCM equation.

GCF(61159,61166) = 7
LCM(61159,61166) = ( 61159 × 61166) / 7
LCM(61159,61166) = 3740851394 / 7
LCM(61159,61166) = 534407342

Least Common Multiple (LCM) of 61159 and 61166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61159 and 61166. First we will calculate the prime factors of 61159 and 61166.

Prime Factorization of 61159

Prime factors of 61159 are 7, 8737. Prime factorization of 61159 in exponential form is:

61159 = 71 × 87371

Prime Factorization of 61166

Prime factors of 61166 are 2, 7, 17, 257. Prime factorization of 61166 in exponential form is:

61166 = 21 × 71 × 171 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 61159 and 61166.

LCM(61159,61166) = 71 × 87371 × 21 × 171 × 2571
LCM(61159,61166) = 534407342