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What is the Least Common Multiple of 64996 and 65010?

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 64996 and 65010 is 2112694980.

LCM(64996,65010) = 2112694980

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Least Common Multiple of 64996 and 65010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64996 and 65010, than apply into the LCM equation.

GCF(64996,65010) = 2
LCM(64996,65010) = ( 64996 × 65010) / 2
LCM(64996,65010) = 4225389960 / 2
LCM(64996,65010) = 2112694980

Least Common Multiple (LCM) of 64996 and 65010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64996 and 65010. First we will calculate the prime factors of 64996 and 65010.

Prime Factorization of 64996

Prime factors of 64996 are 2, 16249. Prime factorization of 64996 in exponential form is:

64996 = 22 × 162491

Prime Factorization of 65010

Prime factors of 65010 are 2, 3, 5, 11, 197. Prime factorization of 65010 in exponential form is:

65010 = 21 × 31 × 51 × 111 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 64996 and 65010.

LCM(64996,65010) = 22 × 162491 × 31 × 51 × 111 × 1971
LCM(64996,65010) = 2112694980