What is the Least Common Multiple of 48195 and 48204?

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 48195 and 48204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48195 and 48204, than apply into the LCM equation.

GCF(48195,48204) = 9
LCM(48195,48204) = ( 48195 × 48204) / 9
LCM(48195,48204) = 2323191780 / 9
LCM(48195,48204) = 258132420

Least Common Multiple (LCM) of 48195 and 48204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48195 and 48204. First we will calculate the prime factors of 48195 and 48204.

Prime Factorization of 48195

Prime Factorization of 48204

Now multiplying the highest exponent prime factors to calculate the LCM of 48195 and 48204.

LCM(48195,48204) = 3⁴ × 5¹ × 7¹ × 17¹ × 2² × 13¹ × 103¹
LCM(48195,48204) = 258132420