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What is the Least Common Multiple of 64698 and 64712?

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 64698 and 64712 is 2093368488.

LCM(64698,64712) = 2093368488

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Least Common Multiple of 64698 and 64712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64698 and 64712, than apply into the LCM equation.

GCF(64698,64712) = 2
LCM(64698,64712) = ( 64698 × 64712) / 2
LCM(64698,64712) = 4186736976 / 2
LCM(64698,64712) = 2093368488

Least Common Multiple (LCM) of 64698 and 64712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64698 and 64712. First we will calculate the prime factors of 64698 and 64712.

Prime Factorization of 64698

Prime factors of 64698 are 2, 3, 41, 263. Prime factorization of 64698 in exponential form is:

64698 = 21 × 31 × 411 × 2631

Prime Factorization of 64712

Prime factors of 64712 are 2, 8089. Prime factorization of 64712 in exponential form is:

64712 = 23 × 80891

Now multiplying the highest exponent prime factors to calculate the LCM of 64698 and 64712.

LCM(64698,64712) = 23 × 31 × 411 × 2631 × 80891
LCM(64698,64712) = 2093368488