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What is the Least Common Multiple of 70933 and 70951?

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 70933 and 70951 is 5032767283.

LCM(70933,70951) = 5032767283

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Least Common Multiple of 70933 and 70951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70933 and 70951, than apply into the LCM equation.

GCF(70933,70951) = 1
LCM(70933,70951) = ( 70933 × 70951) / 1
LCM(70933,70951) = 5032767283 / 1
LCM(70933,70951) = 5032767283

Least Common Multiple (LCM) of 70933 and 70951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70933 and 70951. First we will calculate the prime factors of 70933 and 70951.

Prime Factorization of 70933

Prime factors of 70933 are 89, 797. Prime factorization of 70933 in exponential form is:

70933 = 891 × 7971

Prime Factorization of 70951

Prime factors of 70951 are 70951. Prime factorization of 70951 in exponential form is:

70951 = 709511

Now multiplying the highest exponent prime factors to calculate the LCM of 70933 and 70951.

LCM(70933,70951) = 891 × 7971 × 709511
LCM(70933,70951) = 5032767283