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What is the Least Common Multiple of 64684 and 64689?

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 64684 and 64689 is 4184343276.

LCM(64684,64689) = 4184343276

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Least Common Multiple of 64684 and 64689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64684 and 64689, than apply into the LCM equation.

GCF(64684,64689) = 1
LCM(64684,64689) = ( 64684 × 64689) / 1
LCM(64684,64689) = 4184343276 / 1
LCM(64684,64689) = 4184343276

Least Common Multiple (LCM) of 64684 and 64689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64684 and 64689. First we will calculate the prime factors of 64684 and 64689.

Prime Factorization of 64684

Prime factors of 64684 are 2, 103, 157. Prime factorization of 64684 in exponential form is:

64684 = 22 × 1031 × 1571

Prime Factorization of 64689

Prime factors of 64689 are 3, 21563. Prime factorization of 64689 in exponential form is:

64689 = 31 × 215631

Now multiplying the highest exponent prime factors to calculate the LCM of 64684 and 64689.

LCM(64684,64689) = 22 × 1031 × 1571 × 31 × 215631
LCM(64684,64689) = 4184343276