What is the Least Common Multiple of 61239 and 61246?

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 61246 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 61246, than apply into the LCM equation.

GCF(61239,61246) = 1
LCM(61239,61246) = ( 61239 × 61246) / 1
LCM(61239,61246) = 3750643794 / 1
LCM(61239,61246) = 3750643794

Least Common Multiple (LCM) of 61239 and 61246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61239 and 61246. First we will calculate the prime factors of 61239 and 61246.

Prime Factorization of 61239

Prime Factorization of 61246

Now multiplying the highest exponent prime factors to calculate the LCM of 61239 and 61246.

LCM(61239,61246) = 3¹ × 137¹ × 149¹ × 2¹ × 113¹ × 271¹
LCM(61239,61246) = 3750643794