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What is the Least Common Multiple of 19918 and 19925?

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 19918 and 19925 is 396866150.

LCM(19918,19925) = 396866150

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Least Common Multiple of 19918 and 19925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19918 and 19925, than apply into the LCM equation.

GCF(19918,19925) = 1
LCM(19918,19925) = ( 19918 × 19925) / 1
LCM(19918,19925) = 396866150 / 1
LCM(19918,19925) = 396866150

Least Common Multiple (LCM) of 19918 and 19925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19918 and 19925. First we will calculate the prime factors of 19918 and 19925.

Prime Factorization of 19918

Prime factors of 19918 are 2, 23, 433. Prime factorization of 19918 in exponential form is:

19918 = 21 × 231 × 4331

Prime Factorization of 19925

Prime factors of 19925 are 5, 797. Prime factorization of 19925 in exponential form is:

19925 = 52 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 19918 and 19925.

LCM(19918,19925) = 21 × 231 × 4331 × 52 × 7971
LCM(19918,19925) = 396866150