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What is the Least Common Multiple of 11978 and 11989?

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 11989 is 143604242.

LCM(11978,11989) = 143604242

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Least Common Multiple of 11978 and 11989 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 11989, than apply into the LCM equation.

GCF(11978,11989) = 1
LCM(11978,11989) = ( 11978 × 11989) / 1
LCM(11978,11989) = 143604242 / 1
LCM(11978,11989) = 143604242

Least Common Multiple (LCM) of 11978 and 11989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11978 and 11989. First we will calculate the prime factors of 11978 and 11989.

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 11989

Prime factors of 11989 are 19, 631. Prime factorization of 11989 in exponential form is:

11989 = 191 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 11978 and 11989.

LCM(11978,11989) = 21 × 531 × 1131 × 191 × 6311
LCM(11978,11989) = 143604242