What is the Least Common Multiple of 7434 and 7440?

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 7434 and 7440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7434 and 7440, than apply into the LCM equation.

GCF(7434,7440) = 6
LCM(7434,7440) = ( 7434 × 7440) / 6
LCM(7434,7440) = 55308960 / 6
LCM(7434,7440) = 9218160

Least Common Multiple (LCM) of 7434 and 7440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7434 and 7440. First we will calculate the prime factors of 7434 and 7440.

Prime Factorization of 7434

Prime Factorization of 7440

Now multiplying the highest exponent prime factors to calculate the LCM of 7434 and 7440.

LCM(7434,7440) = 2⁴ × 3² × 7¹ × 59¹ × 5¹ × 31¹
LCM(7434,7440) = 9218160