What is the Least Common Multiple of 36984 and 36999?

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 36984 and 36999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36984 and 36999, than apply into the LCM equation.

GCF(36984,36999) = 3
LCM(36984,36999) = ( 36984 × 36999) / 3
LCM(36984,36999) = 1368371016 / 3
LCM(36984,36999) = 456123672

Least Common Multiple (LCM) of 36984 and 36999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36984 and 36999. First we will calculate the prime factors of 36984 and 36999.

Prime Factorization of 36984

Prime Factorization of 36999

Now multiplying the highest exponent prime factors to calculate the LCM of 36984 and 36999.

LCM(36984,36999) = 2³ × 3² × 23¹ × 67¹ × 4111¹
LCM(36984,36999) = 456123672