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What is the Least Common Multiple of 29922 and 29931?

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 29922 and 29931 is 298531794.

LCM(29922,29931) = 298531794

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Least Common Multiple of 29922 and 29931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29922 and 29931, than apply into the LCM equation.

GCF(29922,29931) = 3
LCM(29922,29931) = ( 29922 × 29931) / 3
LCM(29922,29931) = 895595382 / 3
LCM(29922,29931) = 298531794

Least Common Multiple (LCM) of 29922 and 29931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29922 and 29931. First we will calculate the prime factors of 29922 and 29931.

Prime Factorization of 29922

Prime factors of 29922 are 2, 3, 4987. Prime factorization of 29922 in exponential form is:

29922 = 21 × 31 × 49871

Prime Factorization of 29931

Prime factors of 29931 are 3, 11, 907. Prime factorization of 29931 in exponential form is:

29931 = 31 × 111 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 29922 and 29931.

LCM(29922,29931) = 21 × 31 × 49871 × 111 × 9071
LCM(29922,29931) = 298531794