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What is the Least Common Multiple of 64086 and 64092?

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 64086 and 64092 is 684566652.

LCM(64086,64092) = 684566652

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Least Common Multiple of 64086 and 64092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64086 and 64092, than apply into the LCM equation.

GCF(64086,64092) = 6
LCM(64086,64092) = ( 64086 × 64092) / 6
LCM(64086,64092) = 4107399912 / 6
LCM(64086,64092) = 684566652

Least Common Multiple (LCM) of 64086 and 64092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64086 and 64092. First we will calculate the prime factors of 64086 and 64092.

Prime Factorization of 64086

Prime factors of 64086 are 2, 3, 11, 971. Prime factorization of 64086 in exponential form is:

64086 = 21 × 31 × 111 × 9711

Prime Factorization of 64092

Prime factors of 64092 are 2, 3, 7, 109. Prime factorization of 64092 in exponential form is:

64092 = 22 × 31 × 72 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 64086 and 64092.

LCM(64086,64092) = 22 × 31 × 111 × 9711 × 72 × 1091
LCM(64086,64092) = 684566652