What is the Least Common Multiple of 49120 and 49125?

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 49120 and 49125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49120 and 49125, than apply into the LCM equation.

GCF(49120,49125) = 5
LCM(49120,49125) = ( 49120 × 49125) / 5
LCM(49120,49125) = 2413020000 / 5
LCM(49120,49125) = 482604000

Least Common Multiple (LCM) of 49120 and 49125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49120 and 49125. First we will calculate the prime factors of 49120 and 49125.

Prime Factorization of 49120

Prime Factorization of 49125

Now multiplying the highest exponent prime factors to calculate the LCM of 49120 and 49125.

LCM(49120,49125) = 2⁵ × 5³ × 307¹ × 3¹ × 131¹
LCM(49120,49125) = 482604000