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What is the Least Common Multiple of 64085 and 64094?

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 64085 and 64094 is 4107463990.

LCM(64085,64094) = 4107463990

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Least Common Multiple of 64085 and 64094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64085 and 64094, than apply into the LCM equation.

GCF(64085,64094) = 1
LCM(64085,64094) = ( 64085 × 64094) / 1
LCM(64085,64094) = 4107463990 / 1
LCM(64085,64094) = 4107463990

Least Common Multiple (LCM) of 64085 and 64094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64085 and 64094. First we will calculate the prime factors of 64085 and 64094.

Prime Factorization of 64085

Prime factors of 64085 are 5, 7, 1831. Prime factorization of 64085 in exponential form is:

64085 = 51 × 71 × 18311

Prime Factorization of 64094

Prime factors of 64094 are 2, 73, 439. Prime factorization of 64094 in exponential form is:

64094 = 21 × 731 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 64085 and 64094.

LCM(64085,64094) = 51 × 71 × 18311 × 21 × 731 × 4391
LCM(64085,64094) = 4107463990