What is the Least Common Multiple of 61494 and 61513?

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 61494 and 61513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61494 and 61513, than apply into the LCM equation.

GCF(61494,61513) = 1
LCM(61494,61513) = ( 61494 × 61513) / 1
LCM(61494,61513) = 3782680422 / 1
LCM(61494,61513) = 3782680422

Least Common Multiple (LCM) of 61494 and 61513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61494 and 61513. First we will calculate the prime factors of 61494 and 61513.

Prime Factorization of 61494

Prime Factorization of 61513

Now multiplying the highest exponent prime factors to calculate the LCM of 61494 and 61513.

LCM(61494,61513) = 2¹ × 3¹ × 37¹ × 277¹ × 137¹ × 449¹
LCM(61494,61513) = 3782680422