What is the Least Common Multiple of 36892 and 36898?

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 36892 and 36898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36892 and 36898, than apply into the LCM equation.

GCF(36892,36898) = 2
LCM(36892,36898) = ( 36892 × 36898) / 2
LCM(36892,36898) = 1361241016 / 2
LCM(36892,36898) = 680620508

Least Common Multiple (LCM) of 36892 and 36898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36892 and 36898. First we will calculate the prime factors of 36892 and 36898.

Prime Factorization of 36892

Prime Factorization of 36898

Now multiplying the highest exponent prime factors to calculate the LCM of 36892 and 36898.

LCM(36892,36898) = 2² × 23¹ × 401¹ × 19¹ × 971¹
LCM(36892,36898) = 680620508