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What is the Least Common Multiple of 70371 and 70376?

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 70371 and 70376 is 4952429496.

LCM(70371,70376) = 4952429496

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Least Common Multiple of 70371 and 70376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70371 and 70376, than apply into the LCM equation.

GCF(70371,70376) = 1
LCM(70371,70376) = ( 70371 × 70376) / 1
LCM(70371,70376) = 4952429496 / 1
LCM(70371,70376) = 4952429496

Least Common Multiple (LCM) of 70371 and 70376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70371 and 70376. First we will calculate the prime factors of 70371 and 70376.

Prime Factorization of 70371

Prime factors of 70371 are 3, 7, 1117. Prime factorization of 70371 in exponential form is:

70371 = 32 × 71 × 11171

Prime Factorization of 70376

Prime factors of 70376 are 2, 19, 463. Prime factorization of 70376 in exponential form is:

70376 = 23 × 191 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 70371 and 70376.

LCM(70371,70376) = 32 × 71 × 11171 × 23 × 191 × 4631
LCM(70371,70376) = 4952429496