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What is the Least Common Multiple of 70715 and 70731?

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 70715 and 70731 is 5001742665.

LCM(70715,70731) = 5001742665

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Least Common Multiple of 70715 and 70731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70715 and 70731, than apply into the LCM equation.

GCF(70715,70731) = 1
LCM(70715,70731) = ( 70715 × 70731) / 1
LCM(70715,70731) = 5001742665 / 1
LCM(70715,70731) = 5001742665

Least Common Multiple (LCM) of 70715 and 70731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70715 and 70731. First we will calculate the prime factors of 70715 and 70731.

Prime Factorization of 70715

Prime factors of 70715 are 5, 14143. Prime factorization of 70715 in exponential form is:

70715 = 51 × 141431

Prime Factorization of 70731

Prime factors of 70731 are 3, 29, 271. Prime factorization of 70731 in exponential form is:

70731 = 32 × 291 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 70715 and 70731.

LCM(70715,70731) = 51 × 141431 × 32 × 291 × 2711
LCM(70715,70731) = 5001742665