What is the Least Common Multiple of 48272 and 48292?

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 48272 and 48292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48272 and 48292, than apply into the LCM equation.

GCF(48272,48292) = 4
LCM(48272,48292) = ( 48272 × 48292) / 4
LCM(48272,48292) = 2331151424 / 4
LCM(48272,48292) = 582787856

Least Common Multiple (LCM) of 48272 and 48292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48272 and 48292. First we will calculate the prime factors of 48272 and 48292.

Prime Factorization of 48272

Prime Factorization of 48292

Now multiplying the highest exponent prime factors to calculate the LCM of 48272 and 48292.

LCM(48272,48292) = 2⁴ × 7¹ × 431¹ × 12073¹
LCM(48272,48292) = 582787856