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What is the Least Common Multiple of 64015 and 64026?

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 64015 and 64026 is 4098624390.

LCM(64015,64026) = 4098624390

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Least Common Multiple of 64015 and 64026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64015 and 64026, than apply into the LCM equation.

GCF(64015,64026) = 1
LCM(64015,64026) = ( 64015 × 64026) / 1
LCM(64015,64026) = 4098624390 / 1
LCM(64015,64026) = 4098624390

Least Common Multiple (LCM) of 64015 and 64026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64015 and 64026. First we will calculate the prime factors of 64015 and 64026.

Prime Factorization of 64015

Prime factors of 64015 are 5, 7, 31, 59. Prime factorization of 64015 in exponential form is:

64015 = 51 × 71 × 311 × 591

Prime Factorization of 64026

Prime factors of 64026 are 2, 3, 3557. Prime factorization of 64026 in exponential form is:

64026 = 21 × 32 × 35571

Now multiplying the highest exponent prime factors to calculate the LCM of 64015 and 64026.

LCM(64015,64026) = 51 × 71 × 311 × 591 × 21 × 32 × 35571
LCM(64015,64026) = 4098624390