What is the Least Common Multiple of 76340 and 76344?

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 76340 and 76344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76340 and 76344, than apply into the LCM equation.

GCF(76340,76344) = 4
LCM(76340,76344) = ( 76340 × 76344) / 4
LCM(76340,76344) = 5828100960 / 4
LCM(76340,76344) = 1457025240

Least Common Multiple (LCM) of 76340 and 76344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76340 and 76344. First we will calculate the prime factors of 76340 and 76344.

Prime Factorization of 76340

Prime Factorization of 76344

Now multiplying the highest exponent prime factors to calculate the LCM of 76340 and 76344.

LCM(76340,76344) = 2³ × 5¹ × 11¹ × 347¹ × 3¹ × 3181¹
LCM(76340,76344) = 1457025240