What is the Least Common Multiple of 19935 and 19944?

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 19935 and 19944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19935 and 19944, than apply into the LCM equation.

GCF(19935,19944) = 9
LCM(19935,19944) = ( 19935 × 19944) / 9
LCM(19935,19944) = 397583640 / 9
LCM(19935,19944) = 44175960

Least Common Multiple (LCM) of 19935 and 19944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19935 and 19944. First we will calculate the prime factors of 19935 and 19944.

Prime Factorization of 19935

Prime Factorization of 19944

Now multiplying the highest exponent prime factors to calculate the LCM of 19935 and 19944.

LCM(19935,19944) = 3² × 5¹ × 443¹ × 2³ × 277¹
LCM(19935,19944) = 44175960