What is the Least Common Multiple of 19560 and 19575?

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 19560 and 19575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19560 and 19575, than apply into the LCM equation.

GCF(19560,19575) = 15
LCM(19560,19575) = ( 19560 × 19575) / 15
LCM(19560,19575) = 382887000 / 15
LCM(19560,19575) = 25525800

Least Common Multiple (LCM) of 19560 and 19575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19560 and 19575. First we will calculate the prime factors of 19560 and 19575.

Prime Factorization of 19560

Prime Factorization of 19575

Now multiplying the highest exponent prime factors to calculate the LCM of 19560 and 19575.

LCM(19560,19575) = 2³ × 3³ × 5² × 163¹ × 29¹
LCM(19560,19575) = 25525800