What is the Least Common Multiple of 51384 and 51398?

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 51384 and 51398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51384 and 51398, than apply into the LCM equation.

GCF(51384,51398) = 2
LCM(51384,51398) = ( 51384 × 51398) / 2
LCM(51384,51398) = 2641034832 / 2
LCM(51384,51398) = 1320517416

Least Common Multiple (LCM) of 51384 and 51398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51384 and 51398. First we will calculate the prime factors of 51384 and 51398.

Prime Factorization of 51384

Prime Factorization of 51398

Now multiplying the highest exponent prime factors to calculate the LCM of 51384 and 51398.

LCM(51384,51398) = 2³ × 3¹ × 2141¹ × 31¹ × 829¹
LCM(51384,51398) = 1320517416