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What is the Least Common Multiple of 10988 and 10996?

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 10988 and 10996 is 30206012.

LCM(10988,10996) = 30206012

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Least Common Multiple of 10988 and 10996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10988 and 10996, than apply into the LCM equation.

GCF(10988,10996) = 4
LCM(10988,10996) = ( 10988 × 10996) / 4
LCM(10988,10996) = 120824048 / 4
LCM(10988,10996) = 30206012

Least Common Multiple (LCM) of 10988 and 10996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10988 and 10996. First we will calculate the prime factors of 10988 and 10996.

Prime Factorization of 10988

Prime factors of 10988 are 2, 41, 67. Prime factorization of 10988 in exponential form is:

10988 = 22 × 411 × 671

Prime Factorization of 10996

Prime factors of 10996 are 2, 2749. Prime factorization of 10996 in exponential form is:

10996 = 22 × 27491

Now multiplying the highest exponent prime factors to calculate the LCM of 10988 and 10996.

LCM(10988,10996) = 22 × 411 × 671 × 27491
LCM(10988,10996) = 30206012