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What is the Least Common Multiple of 70651 and 70663?

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 70651 and 70663 is 4992411613.

LCM(70651,70663) = 4992411613

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Least Common Multiple of 70651 and 70663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70651 and 70663, than apply into the LCM equation.

GCF(70651,70663) = 1
LCM(70651,70663) = ( 70651 × 70663) / 1
LCM(70651,70663) = 4992411613 / 1
LCM(70651,70663) = 4992411613

Least Common Multiple (LCM) of 70651 and 70663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70651 and 70663. First we will calculate the prime factors of 70651 and 70663.

Prime Factorization of 70651

Prime factors of 70651 are 7, 10093. Prime factorization of 70651 in exponential form is:

70651 = 71 × 100931

Prime Factorization of 70663

Prime factors of 70663 are 70663. Prime factorization of 70663 in exponential form is:

70663 = 706631

Now multiplying the highest exponent prime factors to calculate the LCM of 70651 and 70663.

LCM(70651,70663) = 71 × 100931 × 706631
LCM(70651,70663) = 4992411613