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What is the Least Common Multiple of 64539 and 64549?

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 64539 and 64549 is 4165927911.

LCM(64539,64549) = 4165927911

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Least Common Multiple of 64539 and 64549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64539 and 64549, than apply into the LCM equation.

GCF(64539,64549) = 1
LCM(64539,64549) = ( 64539 × 64549) / 1
LCM(64539,64549) = 4165927911 / 1
LCM(64539,64549) = 4165927911

Least Common Multiple (LCM) of 64539 and 64549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64539 and 64549. First we will calculate the prime factors of 64539 and 64549.

Prime Factorization of 64539

Prime factors of 64539 are 3, 71, 101. Prime factorization of 64539 in exponential form is:

64539 = 32 × 711 × 1011

Prime Factorization of 64549

Prime factors of 64549 are 17, 3797. Prime factorization of 64549 in exponential form is:

64549 = 171 × 37971

Now multiplying the highest exponent prime factors to calculate the LCM of 64539 and 64549.

LCM(64539,64549) = 32 × 711 × 1011 × 171 × 37971
LCM(64539,64549) = 4165927911