What is the Least Common Multiple of 61386 and 61398?

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 61386 and 61398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61386 and 61398, than apply into the LCM equation.

GCF(61386,61398) = 6
LCM(61386,61398) = ( 61386 × 61398) / 6
LCM(61386,61398) = 3768977628 / 6
LCM(61386,61398) = 628162938

Least Common Multiple (LCM) of 61386 and 61398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61386 and 61398. First we will calculate the prime factors of 61386 and 61398.

Prime Factorization of 61386

Prime Factorization of 61398

Now multiplying the highest exponent prime factors to calculate the LCM of 61386 and 61398.

LCM(61386,61398) = 2¹ × 3⁴ × 13¹ × 787¹ × 379¹
LCM(61386,61398) = 628162938