What is the Least Common Multiple of 36874 and 36892?

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 36874 and 36892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36874 and 36892, than apply into the LCM equation.

GCF(36874,36892) = 2
LCM(36874,36892) = ( 36874 × 36892) / 2
LCM(36874,36892) = 1360355608 / 2
LCM(36874,36892) = 680177804

Least Common Multiple (LCM) of 36874 and 36892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36874 and 36892. First we will calculate the prime factors of 36874 and 36892.

Prime Factorization of 36874

Prime Factorization of 36892

Now multiplying the highest exponent prime factors to calculate the LCM of 36874 and 36892.

LCM(36874,36892) = 2² × 103¹ × 179¹ × 23¹ × 401¹
LCM(36874,36892) = 680177804