What is the Least Common Multiple of 18996 and 19007?

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 18996 and 19007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18996 and 19007, than apply into the LCM equation.

GCF(18996,19007) = 1
LCM(18996,19007) = ( 18996 × 19007) / 1
LCM(18996,19007) = 361056972 / 1
LCM(18996,19007) = 361056972

Least Common Multiple (LCM) of 18996 and 19007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18996 and 19007. First we will calculate the prime factors of 18996 and 19007.

Prime Factorization of 18996

Prime Factorization of 19007

Now multiplying the highest exponent prime factors to calculate the LCM of 18996 and 19007.

LCM(18996,19007) = 2² × 3¹ × 1583¹ × 83¹ × 229¹
LCM(18996,19007) = 361056972