What is the Least Common Multiple of 51380 and 51384?

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 51380 and 51384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51380 and 51384, than apply into the LCM equation.

GCF(51380,51384) = 4
LCM(51380,51384) = ( 51380 × 51384) / 4
LCM(51380,51384) = 2640109920 / 4
LCM(51380,51384) = 660027480

Least Common Multiple (LCM) of 51380 and 51384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51380 and 51384. First we will calculate the prime factors of 51380 and 51384.

Prime Factorization of 51380

Prime Factorization of 51384

Now multiplying the highest exponent prime factors to calculate the LCM of 51380 and 51384.

LCM(51380,51384) = 2³ × 5¹ × 7¹ × 367¹ × 3¹ × 2141¹
LCM(51380,51384) = 660027480