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What is the Least Common Multiple of 64841 and 64850?

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 64841 and 64850 is 4204938850.

LCM(64841,64850) = 4204938850

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Least Common Multiple of 64841 and 64850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64841 and 64850, than apply into the LCM equation.

GCF(64841,64850) = 1
LCM(64841,64850) = ( 64841 × 64850) / 1
LCM(64841,64850) = 4204938850 / 1
LCM(64841,64850) = 4204938850

Least Common Multiple (LCM) of 64841 and 64850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64841 and 64850. First we will calculate the prime factors of 64841 and 64850.

Prime Factorization of 64841

Prime factors of 64841 are 7, 59, 157. Prime factorization of 64841 in exponential form is:

64841 = 71 × 591 × 1571

Prime Factorization of 64850

Prime factors of 64850 are 2, 5, 1297. Prime factorization of 64850 in exponential form is:

64850 = 21 × 52 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 64841 and 64850.

LCM(64841,64850) = 71 × 591 × 1571 × 21 × 52 × 12971
LCM(64841,64850) = 4204938850