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What is the Least Common Multiple of 64509 and 64523?

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 64509 and 64523 is 4162314207.

LCM(64509,64523) = 4162314207

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Least Common Multiple of 64509 and 64523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64509 and 64523, than apply into the LCM equation.

GCF(64509,64523) = 1
LCM(64509,64523) = ( 64509 × 64523) / 1
LCM(64509,64523) = 4162314207 / 1
LCM(64509,64523) = 4162314207

Least Common Multiple (LCM) of 64509 and 64523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64509 and 64523. First we will calculate the prime factors of 64509 and 64523.

Prime Factorization of 64509

Prime factors of 64509 are 3, 21503. Prime factorization of 64509 in exponential form is:

64509 = 31 × 215031

Prime Factorization of 64523

Prime factors of 64523 are 113, 571. Prime factorization of 64523 in exponential form is:

64523 = 1131 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 64509 and 64523.

LCM(64509,64523) = 31 × 215031 × 1131 × 5711
LCM(64509,64523) = 4162314207