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What is the Least Common Multiple of 29934 and 29940?

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 29934 and 29940 is 149370660.

LCM(29934,29940) = 149370660

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Least Common Multiple of 29934 and 29940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29934 and 29940, than apply into the LCM equation.

GCF(29934,29940) = 6
LCM(29934,29940) = ( 29934 × 29940) / 6
LCM(29934,29940) = 896223960 / 6
LCM(29934,29940) = 149370660

Least Common Multiple (LCM) of 29934 and 29940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29934 and 29940. First we will calculate the prime factors of 29934 and 29940.

Prime Factorization of 29934

Prime factors of 29934 are 2, 3, 1663. Prime factorization of 29934 in exponential form is:

29934 = 21 × 32 × 16631

Prime Factorization of 29940

Prime factors of 29940 are 2, 3, 5, 499. Prime factorization of 29940 in exponential form is:

29940 = 22 × 31 × 51 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 29934 and 29940.

LCM(29934,29940) = 22 × 32 × 16631 × 51 × 4991
LCM(29934,29940) = 149370660