What is the Least Common Multiple of 47280 and 47288?

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 47280 and 47288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47280 and 47288, than apply into the LCM equation.

GCF(47280,47288) = 8
LCM(47280,47288) = ( 47280 × 47288) / 8
LCM(47280,47288) = 2235776640 / 8
LCM(47280,47288) = 279472080

Least Common Multiple (LCM) of 47280 and 47288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47280 and 47288. First we will calculate the prime factors of 47280 and 47288.

Prime Factorization of 47280

Prime Factorization of 47288

Now multiplying the highest exponent prime factors to calculate the LCM of 47280 and 47288.

LCM(47280,47288) = 2⁴ × 3¹ × 5¹ × 197¹ × 23¹ × 257¹
LCM(47280,47288) = 279472080