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What is the Least Common Multiple of 70722 and 70727?

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 70722 and 70727 is 5001954894.

LCM(70722,70727) = 5001954894

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Least Common Multiple of 70722 and 70727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70722 and 70727, than apply into the LCM equation.

GCF(70722,70727) = 1
LCM(70722,70727) = ( 70722 × 70727) / 1
LCM(70722,70727) = 5001954894 / 1
LCM(70722,70727) = 5001954894

Least Common Multiple (LCM) of 70722 and 70727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70722 and 70727. First we will calculate the prime factors of 70722 and 70727.

Prime Factorization of 70722

Prime factors of 70722 are 2, 3, 3929. Prime factorization of 70722 in exponential form is:

70722 = 21 × 32 × 39291

Prime Factorization of 70727

Prime factors of 70727 are 107, 661. Prime factorization of 70727 in exponential form is:

70727 = 1071 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 70722 and 70727.

LCM(70722,70727) = 21 × 32 × 39291 × 1071 × 6611
LCM(70722,70727) = 5001954894