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What is the Least Common Multiple of 70721 and 70741?

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 70721 and 70741 is 5002874261.

LCM(70721,70741) = 5002874261

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Least Common Multiple of 70721 and 70741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70721 and 70741, than apply into the LCM equation.

GCF(70721,70741) = 1
LCM(70721,70741) = ( 70721 × 70741) / 1
LCM(70721,70741) = 5002874261 / 1
LCM(70721,70741) = 5002874261

Least Common Multiple (LCM) of 70721 and 70741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70721 and 70741. First we will calculate the prime factors of 70721 and 70741.

Prime Factorization of 70721

Prime factors of 70721 are 7, 10103. Prime factorization of 70721 in exponential form is:

70721 = 71 × 101031

Prime Factorization of 70741

Prime factors of 70741 are 11, 59, 109. Prime factorization of 70741 in exponential form is:

70741 = 111 × 591 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 70721 and 70741.

LCM(70721,70741) = 71 × 101031 × 111 × 591 × 1091
LCM(70721,70741) = 5002874261