What is the Least Common Multiple of 36982 and 36992?

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 36982 and 36992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36982 and 36992, than apply into the LCM equation.

GCF(36982,36992) = 2
LCM(36982,36992) = ( 36982 × 36992) / 2
LCM(36982,36992) = 1368038144 / 2
LCM(36982,36992) = 684019072

Least Common Multiple (LCM) of 36982 and 36992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36982 and 36992. First we will calculate the prime factors of 36982 and 36992.

Prime Factorization of 36982

Prime Factorization of 36992

Now multiplying the highest exponent prime factors to calculate the LCM of 36982 and 36992.

LCM(36982,36992) = 2⁷ × 11¹ × 41² × 17²
LCM(36982,36992) = 684019072