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What is the Least Common Multiple of 64750 and 64760?

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 64750 and 64760 is 419321000.

LCM(64750,64760) = 419321000

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Least Common Multiple of 64750 and 64760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64750 and 64760, than apply into the LCM equation.

GCF(64750,64760) = 10
LCM(64750,64760) = ( 64750 × 64760) / 10
LCM(64750,64760) = 4193210000 / 10
LCM(64750,64760) = 419321000

Least Common Multiple (LCM) of 64750 and 64760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64750 and 64760. First we will calculate the prime factors of 64750 and 64760.

Prime Factorization of 64750

Prime factors of 64750 are 2, 5, 7, 37. Prime factorization of 64750 in exponential form is:

64750 = 21 × 53 × 71 × 371

Prime Factorization of 64760

Prime factors of 64760 are 2, 5, 1619. Prime factorization of 64760 in exponential form is:

64760 = 23 × 51 × 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 64750 and 64760.

LCM(64750,64760) = 23 × 53 × 71 × 371 × 16191
LCM(64750,64760) = 419321000