What is the Least Common Multiple of 61125 and 61141?

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 61125 and 61141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61125 and 61141, than apply into the LCM equation.

GCF(61125,61141) = 1
LCM(61125,61141) = ( 61125 × 61141) / 1
LCM(61125,61141) = 3737243625 / 1
LCM(61125,61141) = 3737243625

Least Common Multiple (LCM) of 61125 and 61141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61125 and 61141. First we will calculate the prime factors of 61125 and 61141.

Prime Factorization of 61125

Prime Factorization of 61141

Now multiplying the highest exponent prime factors to calculate the LCM of 61125 and 61141.

LCM(61125,61141) = 3¹ × 5³ × 163¹ × 61141¹
LCM(61125,61141) = 3737243625