What is the Least Common Multiple of 11974 and 11978?

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 11974 and 11978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11974 and 11978, than apply into the LCM equation.

GCF(11974,11978) = 2
LCM(11974,11978) = ( 11974 × 11978) / 2
LCM(11974,11978) = 143424572 / 2
LCM(11974,11978) = 71712286

Least Common Multiple (LCM) of 11974 and 11978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11974 and 11978. First we will calculate the prime factors of 11974 and 11978.

Prime Factorization of 11974

Prime Factorization of 11978

Now multiplying the highest exponent prime factors to calculate the LCM of 11974 and 11978.

LCM(11974,11978) = 2¹ × 5987¹ × 53¹ × 113¹
LCM(11974,11978) = 71712286