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What is the Least Common Multiple of 70367 and 70373?

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 70367 and 70373 is 4951936891.

LCM(70367,70373) = 4951936891

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Least Common Multiple of 70367 and 70373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70367 and 70373, than apply into the LCM equation.

GCF(70367,70373) = 1
LCM(70367,70373) = ( 70367 × 70373) / 1
LCM(70367,70373) = 4951936891 / 1
LCM(70367,70373) = 4951936891

Least Common Multiple (LCM) of 70367 and 70373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70367 and 70373. First we will calculate the prime factors of 70367 and 70373.

Prime Factorization of 70367

Prime factors of 70367 are 11, 6397. Prime factorization of 70367 in exponential form is:

70367 = 111 × 63971

Prime Factorization of 70373

Prime factors of 70373 are 70373. Prime factorization of 70373 in exponential form is:

70373 = 703731

Now multiplying the highest exponent prime factors to calculate the LCM of 70367 and 70373.

LCM(70367,70373) = 111 × 63971 × 703731
LCM(70367,70373) = 4951936891