What is the Least Common Multiple of 47145 and 47152?

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 47145 and 47152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47145 and 47152, than apply into the LCM equation.

GCF(47145,47152) = 7
LCM(47145,47152) = ( 47145 × 47152) / 7
LCM(47145,47152) = 2222981040 / 7
LCM(47145,47152) = 317568720

Least Common Multiple (LCM) of 47145 and 47152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47145 and 47152. First we will calculate the prime factors of 47145 and 47152.

Prime Factorization of 47145

Prime Factorization of 47152

Now multiplying the highest exponent prime factors to calculate the LCM of 47145 and 47152.

LCM(47145,47152) = 3¹ × 5¹ × 7¹ × 449¹ × 2⁴ × 421¹
LCM(47145,47152) = 317568720