What is the Least Common Multiple of 51324 and 51340?

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 51324 and 51340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51324 and 51340, than apply into the LCM equation.

GCF(51324,51340) = 4
LCM(51324,51340) = ( 51324 × 51340) / 4
LCM(51324,51340) = 2634974160 / 4
LCM(51324,51340) = 658743540

Least Common Multiple (LCM) of 51324 and 51340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51324 and 51340. First we will calculate the prime factors of 51324 and 51340.

Prime Factorization of 51324

Prime Factorization of 51340

Now multiplying the highest exponent prime factors to calculate the LCM of 51324 and 51340.

LCM(51324,51340) = 2² × 3¹ × 7¹ × 13¹ × 47¹ × 5¹ × 17¹ × 151¹
LCM(51324,51340) = 658743540