What is the Least Common Multiple of 36826 and 36846?

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 36826 and 36846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36826 and 36846, than apply into the LCM equation.

GCF(36826,36846) = 2
LCM(36826,36846) = ( 36826 × 36846) / 2
LCM(36826,36846) = 1356890796 / 2
LCM(36826,36846) = 678445398

Least Common Multiple (LCM) of 36826 and 36846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36826 and 36846. First we will calculate the prime factors of 36826 and 36846.

Prime Factorization of 36826

Prime Factorization of 36846

Now multiplying the highest exponent prime factors to calculate the LCM of 36826 and 36846.

LCM(36826,36846) = 2¹ × 18413¹ × 3² × 23¹ × 89¹
LCM(36826,36846) = 678445398