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What is the Least Common Multiple of 64950 and 64960?

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 64950 and 64960 is 421915200.

LCM(64950,64960) = 421915200

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Least Common Multiple of 64950 and 64960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64950 and 64960, than apply into the LCM equation.

GCF(64950,64960) = 10
LCM(64950,64960) = ( 64950 × 64960) / 10
LCM(64950,64960) = 4219152000 / 10
LCM(64950,64960) = 421915200

Least Common Multiple (LCM) of 64950 and 64960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64950 and 64960. First we will calculate the prime factors of 64950 and 64960.

Prime Factorization of 64950

Prime factors of 64950 are 2, 3, 5, 433. Prime factorization of 64950 in exponential form is:

64950 = 21 × 31 × 52 × 4331

Prime Factorization of 64960

Prime factors of 64960 are 2, 5, 7, 29. Prime factorization of 64960 in exponential form is:

64960 = 26 × 51 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 64950 and 64960.

LCM(64950,64960) = 26 × 31 × 52 × 4331 × 71 × 291
LCM(64950,64960) = 421915200