What is the Least Common Multiple of 61325 and 61339?

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 61325 and 61339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61325 and 61339, than apply into the LCM equation.

GCF(61325,61339) = 1
LCM(61325,61339) = ( 61325 × 61339) / 1
LCM(61325,61339) = 3761614175 / 1
LCM(61325,61339) = 3761614175

Least Common Multiple (LCM) of 61325 and 61339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61325 and 61339. First we will calculate the prime factors of 61325 and 61339.

Prime Factorization of 61325

Prime Factorization of 61339

Now multiplying the highest exponent prime factors to calculate the LCM of 61325 and 61339.

LCM(61325,61339) = 5² × 11¹ × 223¹ × 61339¹
LCM(61325,61339) = 3761614175