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What is the Least Common Multiple of 58721 and 58726?

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 58721 and 58726 is 3448449446.

LCM(58721,58726) = 3448449446

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Least Common Multiple of 58721 and 58726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58721 and 58726, than apply into the LCM equation.

GCF(58721,58726) = 1
LCM(58721,58726) = ( 58721 × 58726) / 1
LCM(58721,58726) = 3448449446 / 1
LCM(58721,58726) = 3448449446

Least Common Multiple (LCM) of 58721 and 58726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58721 and 58726. First we will calculate the prime factors of 58721 and 58726.

Prime Factorization of 58721

Prime factors of 58721 are 13, 4517. Prime factorization of 58721 in exponential form is:

58721 = 131 × 45171

Prime Factorization of 58726

Prime factors of 58726 are 2, 29363. Prime factorization of 58726 in exponential form is:

58726 = 21 × 293631

Now multiplying the highest exponent prime factors to calculate the LCM of 58721 and 58726.

LCM(58721,58726) = 131 × 45171 × 21 × 293631
LCM(58721,58726) = 3448449446