What is the Least Common Multiple of 47264 and 47280?

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 47264 and 47280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47264 and 47280, than apply into the LCM equation.

GCF(47264,47280) = 16
LCM(47264,47280) = ( 47264 × 47280) / 16
LCM(47264,47280) = 2234641920 / 16
LCM(47264,47280) = 139665120

Least Common Multiple (LCM) of 47264 and 47280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47264 and 47280. First we will calculate the prime factors of 47264 and 47280.

Prime Factorization of 47264

Prime Factorization of 47280

Now multiplying the highest exponent prime factors to calculate the LCM of 47264 and 47280.

LCM(47264,47280) = 2⁵ × 7¹ × 211¹ × 3¹ × 5¹ × 197¹
LCM(47264,47280) = 139665120