What is the Least Common Multiple of 47445 and 47460?

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 47445 and 47460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47445 and 47460, than apply into the LCM equation.

GCF(47445,47460) = 15
LCM(47445,47460) = ( 47445 × 47460) / 15
LCM(47445,47460) = 2251739700 / 15
LCM(47445,47460) = 150115980

Least Common Multiple (LCM) of 47445 and 47460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47445 and 47460. First we will calculate the prime factors of 47445 and 47460.

Prime Factorization of 47445

Prime Factorization of 47460

Now multiplying the highest exponent prime factors to calculate the LCM of 47445 and 47460.

LCM(47445,47460) = 3¹ × 5¹ × 3163¹ × 2² × 7¹ × 113¹
LCM(47445,47460) = 150115980