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What is the Least Common Multiple of 64757 and 64775?

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 64757 and 64775 is 4194634675.

LCM(64757,64775) = 4194634675

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Least Common Multiple of 64757 and 64775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64757 and 64775, than apply into the LCM equation.

GCF(64757,64775) = 1
LCM(64757,64775) = ( 64757 × 64775) / 1
LCM(64757,64775) = 4194634675 / 1
LCM(64757,64775) = 4194634675

Least Common Multiple (LCM) of 64757 and 64775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64757 and 64775. First we will calculate the prime factors of 64757 and 64775.

Prime Factorization of 64757

Prime factors of 64757 are 7, 11, 29. Prime factorization of 64757 in exponential form is:

64757 = 71 × 111 × 292

Prime Factorization of 64775

Prime factors of 64775 are 5, 2591. Prime factorization of 64775 in exponential form is:

64775 = 52 × 25911

Now multiplying the highest exponent prime factors to calculate the LCM of 64757 and 64775.

LCM(64757,64775) = 71 × 111 × 292 × 52 × 25911
LCM(64757,64775) = 4194634675