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What is the Least Common Multiple of 64662 and 64672?

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 64662 and 64672 is 2090910432.

LCM(64662,64672) = 2090910432

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Least Common Multiple of 64662 and 64672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64662 and 64672, than apply into the LCM equation.

GCF(64662,64672) = 2
LCM(64662,64672) = ( 64662 × 64672) / 2
LCM(64662,64672) = 4181820864 / 2
LCM(64662,64672) = 2090910432

Least Common Multiple (LCM) of 64662 and 64672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64662 and 64672. First we will calculate the prime factors of 64662 and 64672.

Prime Factorization of 64662

Prime factors of 64662 are 2, 3, 13, 829. Prime factorization of 64662 in exponential form is:

64662 = 21 × 31 × 131 × 8291

Prime Factorization of 64672

Prime factors of 64672 are 2, 43, 47. Prime factorization of 64672 in exponential form is:

64672 = 25 × 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 64662 and 64672.

LCM(64662,64672) = 25 × 31 × 131 × 8291 × 431 × 471
LCM(64662,64672) = 2090910432