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What is the Least Common Multiple of 61079 and 61086?

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 61079 and 61086 is 3731071794.

LCM(61079,61086) = 3731071794

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Least Common Multiple of 61079 and 61086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61079 and 61086, than apply into the LCM equation.

GCF(61079,61086) = 1
LCM(61079,61086) = ( 61079 × 61086) / 1
LCM(61079,61086) = 3731071794 / 1
LCM(61079,61086) = 3731071794

Least Common Multiple (LCM) of 61079 and 61086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61079 and 61086. First we will calculate the prime factors of 61079 and 61086.

Prime Factorization of 61079

Prime factors of 61079 are 103, 593. Prime factorization of 61079 in exponential form is:

61079 = 1031 × 5931

Prime Factorization of 61086

Prime factors of 61086 are 2, 3, 10181. Prime factorization of 61086 in exponential form is:

61086 = 21 × 31 × 101811

Now multiplying the highest exponent prime factors to calculate the LCM of 61079 and 61086.

LCM(61079,61086) = 1031 × 5931 × 21 × 31 × 101811
LCM(61079,61086) = 3731071794