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What is the Least Common Multiple of 61079 and 61093?

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 61093 is 3731499347.

LCM(61079,61093) = 3731499347

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Least Common Multiple of 61079 and 61093 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 61093, than apply into the LCM equation.

GCF(61079,61093) = 1
LCM(61079,61093) = ( 61079 × 61093) / 1
LCM(61079,61093) = 3731499347 / 1
LCM(61079,61093) = 3731499347

Least Common Multiple (LCM) of 61079 and 61093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61079 and 61093. First we will calculate the prime factors of 61079 and 61093.

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 61093

Prime factors of 61093 are 199, 307. Prime factorization of 61093 in exponential form is:

61093 = 1991 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 61079 and 61093.

LCM(61079,61093) = 1031 × 5931 × 1991 × 3071
LCM(61079,61093) = 3731499347