What is the Least Common Multiple of 7354 and 7372?

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 7354 and 7372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7354 and 7372, than apply into the LCM equation.

GCF(7354,7372) = 2
LCM(7354,7372) = ( 7354 × 7372) / 2
LCM(7354,7372) = 54213688 / 2
LCM(7354,7372) = 27106844

Least Common Multiple (LCM) of 7354 and 7372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7354 and 7372. First we will calculate the prime factors of 7354 and 7372.

Prime Factorization of 7354

Prime Factorization of 7372

Now multiplying the highest exponent prime factors to calculate the LCM of 7354 and 7372.

LCM(7354,7372) = 2² × 3677¹ × 19¹ × 97¹
LCM(7354,7372) = 27106844