What is the Least Common Multiple of 61239 and 61245?

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 61239 and 61245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61239 and 61245, than apply into the LCM equation.

GCF(61239,61245) = 3
LCM(61239,61245) = ( 61239 × 61245) / 3
LCM(61239,61245) = 3750582555 / 3
LCM(61239,61245) = 1250194185

Least Common Multiple (LCM) of 61239 and 61245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61239 and 61245. First we will calculate the prime factors of 61239 and 61245.

Prime Factorization of 61239

Prime Factorization of 61245

Now multiplying the highest exponent prime factors to calculate the LCM of 61239 and 61245.

LCM(61239,61245) = 3² × 137¹ × 149¹ × 5¹ × 1361¹
LCM(61239,61245) = 1250194185