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What is the Least Common Multiple of 18976 and 18988?

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 18976 and 18988 is 90079072.

LCM(18976,18988) = 90079072

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Least Common Multiple of 18976 and 18988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18976 and 18988, than apply into the LCM equation.

GCF(18976,18988) = 4
LCM(18976,18988) = ( 18976 × 18988) / 4
LCM(18976,18988) = 360316288 / 4
LCM(18976,18988) = 90079072

Least Common Multiple (LCM) of 18976 and 18988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18976 and 18988. First we will calculate the prime factors of 18976 and 18988.

Prime Factorization of 18976

Prime factors of 18976 are 2, 593. Prime factorization of 18976 in exponential form is:

18976 = 25 × 5931

Prime Factorization of 18988

Prime factors of 18988 are 2, 47, 101. Prime factorization of 18988 in exponential form is:

18988 = 22 × 471 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 18976 and 18988.

LCM(18976,18988) = 25 × 5931 × 471 × 1011
LCM(18976,18988) = 90079072