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What is the Least Common Multiple of 64546 and 64561?

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 64546 and 64561 is 4167154306.

LCM(64546,64561) = 4167154306

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Least Common Multiple of 64546 and 64561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64546 and 64561, than apply into the LCM equation.

GCF(64546,64561) = 1
LCM(64546,64561) = ( 64546 × 64561) / 1
LCM(64546,64561) = 4167154306 / 1
LCM(64546,64561) = 4167154306

Least Common Multiple (LCM) of 64546 and 64561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64546 and 64561. First we will calculate the prime factors of 64546 and 64561.

Prime Factorization of 64546

Prime factors of 64546 are 2, 59, 547. Prime factorization of 64546 in exponential form is:

64546 = 21 × 591 × 5471

Prime Factorization of 64561

Prime factors of 64561 are 7, 23, 401. Prime factorization of 64561 in exponential form is:

64561 = 71 × 231 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 64546 and 64561.

LCM(64546,64561) = 21 × 591 × 5471 × 71 × 231 × 4011
LCM(64546,64561) = 4167154306