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What is the Least Common Multiple of 39698 and 39702?

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 39698 and 39702 is 788044998.

LCM(39698,39702) = 788044998

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Least Common Multiple of 39698 and 39702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39698 and 39702, than apply into the LCM equation.

GCF(39698,39702) = 2
LCM(39698,39702) = ( 39698 × 39702) / 2
LCM(39698,39702) = 1576089996 / 2
LCM(39698,39702) = 788044998

Least Common Multiple (LCM) of 39698 and 39702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39698 and 39702. First we will calculate the prime factors of 39698 and 39702.

Prime Factorization of 39698

Prime factors of 39698 are 2, 23, 863. Prime factorization of 39698 in exponential form is:

39698 = 21 × 231 × 8631

Prime Factorization of 39702

Prime factors of 39702 are 2, 3, 13, 509. Prime factorization of 39702 in exponential form is:

39702 = 21 × 31 × 131 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 39698 and 39702.

LCM(39698,39702) = 21 × 231 × 8631 × 31 × 131 × 5091
LCM(39698,39702) = 788044998