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What is the Least Common Multiple of 11978 and 11992?

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 11978 and 11992 is 71820088.

LCM(11978,11992) = 71820088

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Least Common Multiple of 11978 and 11992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11978 and 11992, than apply into the LCM equation.

GCF(11978,11992) = 2
LCM(11978,11992) = ( 11978 × 11992) / 2
LCM(11978,11992) = 143640176 / 2
LCM(11978,11992) = 71820088

Least Common Multiple (LCM) of 11978 and 11992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11978 and 11992. First we will calculate the prime factors of 11978 and 11992.

Prime Factorization of 11978

Prime factors of 11978 are 2, 53, 113. Prime factorization of 11978 in exponential form is:

11978 = 21 × 531 × 1131

Prime Factorization of 11992

Prime factors of 11992 are 2, 1499. Prime factorization of 11992 in exponential form is:

11992 = 23 × 14991

Now multiplying the highest exponent prime factors to calculate the LCM of 11978 and 11992.

LCM(11978,11992) = 23 × 531 × 1131 × 14991
LCM(11978,11992) = 71820088