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What is the Least Common Multiple of 64961 and 64976?

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 64976 is 4220905936.

LCM(64961,64976) = 4220905936

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Least Common Multiple of 64961 and 64976 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 64976, than apply into the LCM equation.

GCF(64961,64976) = 1
LCM(64961,64976) = ( 64961 × 64976) / 1
LCM(64961,64976) = 4220905936 / 1
LCM(64961,64976) = 4220905936

Least Common Multiple (LCM) of 64961 and 64976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64961 and 64976. First we will calculate the prime factors of 64961 and 64976.

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 64976

Prime factors of 64976 are 2, 31, 131. Prime factorization of 64976 in exponential form is:

64976 = 24 × 311 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 64961 and 64976.

LCM(64961,64976) = 131 × 191 × 2631 × 24 × 311 × 1311
LCM(64961,64976) = 4220905936