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What is the Least Common Multiple of 64688 and 64698?

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 64688 and 64698 is 2092592112.

LCM(64688,64698) = 2092592112

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Least Common Multiple of 64688 and 64698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64688 and 64698, than apply into the LCM equation.

GCF(64688,64698) = 2
LCM(64688,64698) = ( 64688 × 64698) / 2
LCM(64688,64698) = 4185184224 / 2
LCM(64688,64698) = 2092592112

Least Common Multiple (LCM) of 64688 and 64698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64688 and 64698. First we will calculate the prime factors of 64688 and 64698.

Prime Factorization of 64688

Prime factors of 64688 are 2, 13, 311. Prime factorization of 64688 in exponential form is:

64688 = 24 × 131 × 3111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 64688 and 64698.

LCM(64688,64698) = 24 × 131 × 3111 × 31 × 411 × 2631
LCM(64688,64698) = 2092592112