What is the Least Common Multiple of 36993 and 37008?

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 36993 and 37008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36993 and 37008, than apply into the LCM equation.

GCF(36993,37008) = 3
LCM(36993,37008) = ( 36993 × 37008) / 3
LCM(36993,37008) = 1369036944 / 3
LCM(36993,37008) = 456345648

Least Common Multiple (LCM) of 36993 and 37008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36993 and 37008. First we will calculate the prime factors of 36993 and 37008.

Prime Factorization of 36993

Prime Factorization of 37008

Now multiplying the highest exponent prime factors to calculate the LCM of 36993 and 37008.

LCM(36993,37008) = 3² × 11¹ × 19¹ × 59¹ × 2⁴ × 257¹
LCM(36993,37008) = 456345648