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What is the Least Common Multiple of 64668 and 64674?

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 64668 and 64674 is 697056372.

LCM(64668,64674) = 697056372

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Least Common Multiple of 64668 and 64674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64668 and 64674, than apply into the LCM equation.

GCF(64668,64674) = 6
LCM(64668,64674) = ( 64668 × 64674) / 6
LCM(64668,64674) = 4182338232 / 6
LCM(64668,64674) = 697056372

Least Common Multiple (LCM) of 64668 and 64674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64668 and 64674. First we will calculate the prime factors of 64668 and 64674.

Prime Factorization of 64668

Prime factors of 64668 are 2, 3, 17, 317. Prime factorization of 64668 in exponential form is:

64668 = 22 × 31 × 171 × 3171

Prime Factorization of 64674

Prime factors of 64674 are 2, 3, 3593. Prime factorization of 64674 in exponential form is:

64674 = 21 × 32 × 35931

Now multiplying the highest exponent prime factors to calculate the LCM of 64668 and 64674.

LCM(64668,64674) = 22 × 32 × 171 × 3171 × 35931
LCM(64668,64674) = 697056372