What is the Least Common Multiple of 19575 and 19580?

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 19575 and 19580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19575 and 19580, than apply into the LCM equation.

GCF(19575,19580) = 5
LCM(19575,19580) = ( 19575 × 19580) / 5
LCM(19575,19580) = 383278500 / 5
LCM(19575,19580) = 76655700

Least Common Multiple (LCM) of 19575 and 19580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19575 and 19580. First we will calculate the prime factors of 19575 and 19580.

Prime Factorization of 19575

Prime Factorization of 19580

Now multiplying the highest exponent prime factors to calculate the LCM of 19575 and 19580.

LCM(19575,19580) = 3³ × 5² × 29¹ × 2² × 11¹ × 89¹
LCM(19575,19580) = 76655700