What is the Least Common Multiple of 61120 and 61125?

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 61120 and 61125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61120 and 61125, than apply into the LCM equation.

GCF(61120,61125) = 5
LCM(61120,61125) = ( 61120 × 61125) / 5
LCM(61120,61125) = 3735960000 / 5
LCM(61120,61125) = 747192000

Least Common Multiple (LCM) of 61120 and 61125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61120 and 61125. First we will calculate the prime factors of 61120 and 61125.

Prime Factorization of 61120

Prime Factorization of 61125

Now multiplying the highest exponent prime factors to calculate the LCM of 61120 and 61125.

LCM(61120,61125) = 2⁶ × 5³ × 191¹ × 3¹ × 163¹
LCM(61120,61125) = 747192000