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What is the Least Common Multiple of 28697 and 28702?

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 28697 and 28702 is 823661294.

LCM(28697,28702) = 823661294

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Least Common Multiple of 28697 and 28702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28697 and 28702, than apply into the LCM equation.

GCF(28697,28702) = 1
LCM(28697,28702) = ( 28697 × 28702) / 1
LCM(28697,28702) = 823661294 / 1
LCM(28697,28702) = 823661294

Least Common Multiple (LCM) of 28697 and 28702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28697 and 28702. First we will calculate the prime factors of 28697 and 28702.

Prime Factorization of 28697

Prime factors of 28697 are 28697. Prime factorization of 28697 in exponential form is:

28697 = 286971

Prime Factorization of 28702

Prime factors of 28702 are 2, 113, 127. Prime factorization of 28702 in exponential form is:

28702 = 21 × 1131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 28697 and 28702.

LCM(28697,28702) = 286971 × 21 × 1131 × 1271
LCM(28697,28702) = 823661294