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What is the Least Common Multiple of 64744 and 64749?

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 64744 and 64749 is 4192109256.

LCM(64744,64749) = 4192109256

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Least Common Multiple of 64744 and 64749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64744 and 64749, than apply into the LCM equation.

GCF(64744,64749) = 1
LCM(64744,64749) = ( 64744 × 64749) / 1
LCM(64744,64749) = 4192109256 / 1
LCM(64744,64749) = 4192109256

Least Common Multiple (LCM) of 64744 and 64749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64744 and 64749. First we will calculate the prime factors of 64744 and 64749.

Prime Factorization of 64744

Prime factors of 64744 are 2, 8093. Prime factorization of 64744 in exponential form is:

64744 = 23 × 80931

Prime Factorization of 64749

Prime factors of 64749 are 3, 113, 191. Prime factorization of 64749 in exponential form is:

64749 = 31 × 1131 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 64744 and 64749.

LCM(64744,64749) = 23 × 80931 × 31 × 1131 × 1911
LCM(64744,64749) = 4192109256