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What is the Least Common Multiple of 29715 and 29726?

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 29715 and 29726 is 883308090.

LCM(29715,29726) = 883308090

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Least Common Multiple of 29715 and 29726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29715 and 29726, than apply into the LCM equation.

GCF(29715,29726) = 1
LCM(29715,29726) = ( 29715 × 29726) / 1
LCM(29715,29726) = 883308090 / 1
LCM(29715,29726) = 883308090

Least Common Multiple (LCM) of 29715 and 29726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29715 and 29726. First we will calculate the prime factors of 29715 and 29726.

Prime Factorization of 29715

Prime factors of 29715 are 3, 5, 7, 283. Prime factorization of 29715 in exponential form is:

29715 = 31 × 51 × 71 × 2831

Prime Factorization of 29726

Prime factors of 29726 are 2, 89, 167. Prime factorization of 29726 in exponential form is:

29726 = 21 × 891 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 29715 and 29726.

LCM(29715,29726) = 31 × 51 × 71 × 2831 × 21 × 891 × 1671
LCM(29715,29726) = 883308090