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What is the Least Common Multiple of 64961 and 64975?

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 64961 and 64975 is 4220840975.

LCM(64961,64975) = 4220840975

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Least Common Multiple of 64961 and 64975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64961 and 64975, than apply into the LCM equation.

GCF(64961,64975) = 1
LCM(64961,64975) = ( 64961 × 64975) / 1
LCM(64961,64975) = 4220840975 / 1
LCM(64961,64975) = 4220840975

Least Common Multiple (LCM) of 64961 and 64975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64961 and 64975. First we will calculate the prime factors of 64961 and 64975.

Prime Factorization of 64961

Prime factors of 64961 are 13, 19, 263. Prime factorization of 64961 in exponential form is:

64961 = 131 × 191 × 2631

Prime Factorization of 64975

Prime factors of 64975 are 5, 23, 113. Prime factorization of 64975 in exponential form is:

64975 = 52 × 231 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 64961 and 64975.

LCM(64961,64975) = 131 × 191 × 2631 × 52 × 231 × 1131
LCM(64961,64975) = 4220840975