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What is the Least Common Multiple of 64610 and 64624?

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 64610 and 64624 is 298239760.

LCM(64610,64624) = 298239760

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Least Common Multiple of 64610 and 64624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64610 and 64624, than apply into the LCM equation.

GCF(64610,64624) = 14
LCM(64610,64624) = ( 64610 × 64624) / 14
LCM(64610,64624) = 4175356640 / 14
LCM(64610,64624) = 298239760

Least Common Multiple (LCM) of 64610 and 64624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64610 and 64624. First we will calculate the prime factors of 64610 and 64624.

Prime Factorization of 64610

Prime factors of 64610 are 2, 5, 7, 13, 71. Prime factorization of 64610 in exponential form is:

64610 = 21 × 51 × 71 × 131 × 711

Prime Factorization of 64624

Prime factors of 64624 are 2, 7, 577. Prime factorization of 64624 in exponential form is:

64624 = 24 × 71 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 64610 and 64624.

LCM(64610,64624) = 24 × 51 × 71 × 131 × 711 × 5771
LCM(64610,64624) = 298239760