What is the Least Common Multiple of 36969 and 36978?

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 36969 and 36978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36969 and 36978, than apply into the LCM equation.

GCF(36969,36978) = 3
LCM(36969,36978) = ( 36969 × 36978) / 3
LCM(36969,36978) = 1367039682 / 3
LCM(36969,36978) = 455679894

Least Common Multiple (LCM) of 36969 and 36978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36969 and 36978. First we will calculate the prime factors of 36969 and 36978.

Prime Factorization of 36969

Prime Factorization of 36978

Now multiplying the highest exponent prime factors to calculate the LCM of 36969 and 36978.

LCM(36969,36978) = 3¹ × 12323¹ × 2¹ × 6163¹
LCM(36969,36978) = 455679894