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What is the Least Common Multiple of 64741 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 64741 and 64749 is 4191915009.

LCM(64741,64749) = 4191915009

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Least Common Multiple of 64741 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 64741 and 64749, than apply into the LCM equation.

GCF(64741,64749) = 1
LCM(64741,64749) = ( 64741 × 64749) / 1
LCM(64741,64749) = 4191915009 / 1
LCM(64741,64749) = 4191915009

Least Common Multiple (LCM) of 64741 and 64749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64741 and 64749. First we will calculate the prime factors of 64741 and 64749.

Prime Factorization of 64741

Prime factors of 64741 are 101, 641. Prime factorization of 64741 in exponential form is:

64741 = 1011 × 6411

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 64741 and 64749.

LCM(64741,64749) = 1011 × 6411 × 31 × 1131 × 1911
LCM(64741,64749) = 4191915009