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What is the Least Common Multiple of 39698 and 39703?

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 39703 is 1576129694.

LCM(39698,39703) = 1576129694

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Least Common Multiple of 39698 and 39703 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 39703, than apply into the LCM equation.

GCF(39698,39703) = 1
LCM(39698,39703) = ( 39698 × 39703) / 1
LCM(39698,39703) = 1576129694 / 1
LCM(39698,39703) = 1576129694

Least Common Multiple (LCM) of 39698 and 39703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39698 and 39703. First we will calculate the prime factors of 39698 and 39703.

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 39703

Prime factors of 39703 are 39703. Prime factorization of 39703 in exponential form is:

39703 = 397031

Now multiplying the highest exponent prime factors to calculate the LCM of 39698 and 39703.

LCM(39698,39703) = 21 × 231 × 8631 × 397031
LCM(39698,39703) = 1576129694