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What is the Least Common Multiple of 64546 and 64562?

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 64562 is 2083609426.

LCM(64546,64562) = 2083609426

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Least Common Multiple of 64546 and 64562 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 64562, than apply into the LCM equation.

GCF(64546,64562) = 2
LCM(64546,64562) = ( 64546 × 64562) / 2
LCM(64546,64562) = 4167218852 / 2
LCM(64546,64562) = 2083609426

Least Common Multiple (LCM) of 64546 and 64562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64546 and 64562. First we will calculate the prime factors of 64546 and 64562.

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 64562

Prime factors of 64562 are 2, 19, 1699. Prime factorization of 64562 in exponential form is:

64562 = 21 × 191 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 64546 and 64562.

LCM(64546,64562) = 21 × 591 × 5471 × 191 × 16991
LCM(64546,64562) = 2083609426