What is the Least Common Multiple of 61300 and 61319?

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 61300 and 61319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61300 and 61319, than apply into the LCM equation.

GCF(61300,61319) = 1
LCM(61300,61319) = ( 61300 × 61319) / 1
LCM(61300,61319) = 3758854700 / 1
LCM(61300,61319) = 3758854700

Least Common Multiple (LCM) of 61300 and 61319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61300 and 61319. First we will calculate the prime factors of 61300 and 61319.

Prime Factorization of 61300

Prime Factorization of 61319

Now multiplying the highest exponent prime factors to calculate the LCM of 61300 and 61319.

LCM(61300,61319) = 2² × 5² × 613¹ × 17¹ × 3607¹
LCM(61300,61319) = 3758854700