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What is the Least Common Multiple of 64997 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 64997 and 65010 is 4225454970.

LCM(64997,65010) = 4225454970

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Least Common Multiple of 64997 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 64997 and 65010, than apply into the LCM equation.

GCF(64997,65010) = 1
LCM(64997,65010) = ( 64997 × 65010) / 1
LCM(64997,65010) = 4225454970 / 1
LCM(64997,65010) = 4225454970

Least Common Multiple (LCM) of 64997 and 65010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64997 and 65010. First we will calculate the prime factors of 64997 and 65010.

Prime Factorization of 64997

Prime factors of 64997 are 64997. Prime factorization of 64997 in exponential form is:

64997 = 649971

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 64997 and 65010.

LCM(64997,65010) = 649971 × 21 × 31 × 51 × 111 × 1971
LCM(64997,65010) = 4225454970