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What is the Least Common Multiple of 64825 and 64845?

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 64825 and 64845 is 840715425.

LCM(64825,64845) = 840715425

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Least Common Multiple of 64825 and 64845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64825 and 64845, than apply into the LCM equation.

GCF(64825,64845) = 5
LCM(64825,64845) = ( 64825 × 64845) / 5
LCM(64825,64845) = 4203577125 / 5
LCM(64825,64845) = 840715425

Least Common Multiple (LCM) of 64825 and 64845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64825 and 64845. First we will calculate the prime factors of 64825 and 64845.

Prime Factorization of 64825

Prime factors of 64825 are 5, 2593. Prime factorization of 64825 in exponential form is:

64825 = 52 × 25931

Prime Factorization of 64845

Prime factors of 64845 are 3, 5, 11, 131. Prime factorization of 64845 in exponential form is:

64845 = 32 × 51 × 111 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 64825 and 64845.

LCM(64825,64845) = 52 × 25931 × 32 × 111 × 1311
LCM(64825,64845) = 840715425