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What is the Least Common Multiple of 61328 and 61347?

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 61328 and 61347 is 3762288816.

LCM(61328,61347) = 3762288816

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Least Common Multiple of 61328 and 61347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61328 and 61347, than apply into the LCM equation.

GCF(61328,61347) = 1
LCM(61328,61347) = ( 61328 × 61347) / 1
LCM(61328,61347) = 3762288816 / 1
LCM(61328,61347) = 3762288816

Least Common Multiple (LCM) of 61328 and 61347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61328 and 61347. First we will calculate the prime factors of 61328 and 61347.

Prime Factorization of 61328

Prime factors of 61328 are 2, 3833. Prime factorization of 61328 in exponential form is:

61328 = 24 × 38331

Prime Factorization of 61347

Prime factors of 61347 are 3, 11, 13. Prime factorization of 61347 in exponential form is:

61347 = 31 × 112 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 61328 and 61347.

LCM(61328,61347) = 24 × 38331 × 31 × 112 × 132
LCM(61328,61347) = 3762288816