What is the Least Common Multiple of 36911 and 36916?

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 36911 and 36916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36911 and 36916, than apply into the LCM equation.

GCF(36911,36916) = 1
LCM(36911,36916) = ( 36911 × 36916) / 1
LCM(36911,36916) = 1362606476 / 1
LCM(36911,36916) = 1362606476

Least Common Multiple (LCM) of 36911 and 36916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36911 and 36916. First we will calculate the prime factors of 36911 and 36916.

Prime Factorization of 36911

Prime Factorization of 36916

Now multiplying the highest exponent prime factors to calculate the LCM of 36911 and 36916.

LCM(36911,36916) = 7¹ × 5273¹ × 2² × 11¹ × 839¹
LCM(36911,36916) = 1362606476