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What is the Least Common Multiple of 29978 and 29987?

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 29978 and 29987 is 898950286.

LCM(29978,29987) = 898950286

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Least Common Multiple of 29978 and 29987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29978 and 29987, than apply into the LCM equation.

GCF(29978,29987) = 1
LCM(29978,29987) = ( 29978 × 29987) / 1
LCM(29978,29987) = 898950286 / 1
LCM(29978,29987) = 898950286

Least Common Multiple (LCM) of 29978 and 29987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29978 and 29987. First we will calculate the prime factors of 29978 and 29987.

Prime Factorization of 29978

Prime factors of 29978 are 2, 13, 1153. Prime factorization of 29978 in exponential form is:

29978 = 21 × 131 × 11531

Prime Factorization of 29987

Prime factors of 29987 are 157, 191. Prime factorization of 29987 in exponential form is:

29987 = 1571 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 29978 and 29987.

LCM(29978,29987) = 21 × 131 × 11531 × 1571 × 1911
LCM(29978,29987) = 898950286