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What is the Least Common Multiple of 64580 and 64592?

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 64580 and 64592 is 1042837840.

LCM(64580,64592) = 1042837840

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Least Common Multiple of 64580 and 64592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64580 and 64592, than apply into the LCM equation.

GCF(64580,64592) = 4
LCM(64580,64592) = ( 64580 × 64592) / 4
LCM(64580,64592) = 4171351360 / 4
LCM(64580,64592) = 1042837840

Least Common Multiple (LCM) of 64580 and 64592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64580 and 64592. First we will calculate the prime factors of 64580 and 64592.

Prime Factorization of 64580

Prime factors of 64580 are 2, 5, 3229. Prime factorization of 64580 in exponential form is:

64580 = 22 × 51 × 32291

Prime Factorization of 64592

Prime factors of 64592 are 2, 11, 367. Prime factorization of 64592 in exponential form is:

64592 = 24 × 111 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 64580 and 64592.

LCM(64580,64592) = 24 × 51 × 32291 × 111 × 3671
LCM(64580,64592) = 1042837840