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What is the Least Common Multiple of 30637 and 30642?

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 30637 and 30642 is 938778954.

LCM(30637,30642) = 938778954

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Least Common Multiple of 30637 and 30642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30637 and 30642, than apply into the LCM equation.

GCF(30637,30642) = 1
LCM(30637,30642) = ( 30637 × 30642) / 1
LCM(30637,30642) = 938778954 / 1
LCM(30637,30642) = 938778954

Least Common Multiple (LCM) of 30637 and 30642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30637 and 30642. First we will calculate the prime factors of 30637 and 30642.

Prime Factorization of 30637

Prime factors of 30637 are 30637. Prime factorization of 30637 in exponential form is:

30637 = 306371

Prime Factorization of 30642

Prime factors of 30642 are 2, 3, 5107. Prime factorization of 30642 in exponential form is:

30642 = 21 × 31 × 51071

Now multiplying the highest exponent prime factors to calculate the LCM of 30637 and 30642.

LCM(30637,30642) = 306371 × 21 × 31 × 51071
LCM(30637,30642) = 938778954