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What is the Least Common Multiple of 29698 and 29702?

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 29698 and 29702 is 441044998.

LCM(29698,29702) = 441044998

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Least Common Multiple of 29698 and 29702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29698 and 29702, than apply into the LCM equation.

GCF(29698,29702) = 2
LCM(29698,29702) = ( 29698 × 29702) / 2
LCM(29698,29702) = 882089996 / 2
LCM(29698,29702) = 441044998

Least Common Multiple (LCM) of 29698 and 29702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29698 and 29702. First we will calculate the prime factors of 29698 and 29702.

Prime Factorization of 29698

Prime factors of 29698 are 2, 31, 479. Prime factorization of 29698 in exponential form is:

29698 = 21 × 311 × 4791

Prime Factorization of 29702

Prime factors of 29702 are 2, 14851. Prime factorization of 29702 in exponential form is:

29702 = 21 × 148511

Now multiplying the highest exponent prime factors to calculate the LCM of 29698 and 29702.

LCM(29698,29702) = 21 × 311 × 4791 × 148511
LCM(29698,29702) = 441044998