What is the Least Common Multiple of 61319 and 61337?

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 61319 and 61337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61319 and 61337, than apply into the LCM equation.

GCF(61319,61337) = 1
LCM(61319,61337) = ( 61319 × 61337) / 1
LCM(61319,61337) = 3761123503 / 1
LCM(61319,61337) = 3761123503

Least Common Multiple (LCM) of 61319 and 61337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61319 and 61337. First we will calculate the prime factors of 61319 and 61337.

Prime Factorization of 61319

Prime Factorization of 61337

Now multiplying the highest exponent prime factors to calculate the LCM of 61319 and 61337.

LCM(61319,61337) = 17¹ × 3607¹ × 83¹ × 739¹
LCM(61319,61337) = 3761123503