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What is the Least Common Multiple of 61087 and 61096?

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 61087 and 61096 is 3732171352.

LCM(61087,61096) = 3732171352

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Least Common Multiple of 61087 and 61096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61087 and 61096, than apply into the LCM equation.

GCF(61087,61096) = 1
LCM(61087,61096) = ( 61087 × 61096) / 1
LCM(61087,61096) = 3732171352 / 1
LCM(61087,61096) = 3732171352

Least Common Multiple (LCM) of 61087 and 61096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61087 and 61096. First we will calculate the prime factors of 61087 and 61096.

Prime Factorization of 61087

Prime factors of 61087 are 13, 37, 127. Prime factorization of 61087 in exponential form is:

61087 = 131 × 371 × 1271

Prime Factorization of 61096

Prime factors of 61096 are 2, 7, 1091. Prime factorization of 61096 in exponential form is:

61096 = 23 × 71 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 61087 and 61096.

LCM(61087,61096) = 131 × 371 × 1271 × 23 × 71 × 10911
LCM(61087,61096) = 3732171352