What is the Least Common Multiple of 11978 and 11982?

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 of 11978 and 11982 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 11982, than apply into the LCM equation.

GCF(11978,11982) = 2
LCM(11978,11982) = ( 11978 × 11982) / 2
LCM(11978,11982) = 143520396 / 2
LCM(11978,11982) = 71760198

Least Common Multiple (LCM) of 11978 and 11982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11978 and 11982. First we will calculate the prime factors of 11978 and 11982.

Prime Factorization of 11978

Prime Factorization of 11982

Now multiplying the highest exponent prime factors to calculate the LCM of 11978 and 11982.

LCM(11978,11982) = 2¹ × 53¹ × 113¹ × 3¹ × 1997¹
LCM(11978,11982) = 71760198