What is the Least Common Multiple of 7332 and 7341?

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 7332 and 7341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7332 and 7341, than apply into the LCM equation.

GCF(7332,7341) = 3
LCM(7332,7341) = ( 7332 × 7341) / 3
LCM(7332,7341) = 53824212 / 3
LCM(7332,7341) = 17941404

Least Common Multiple (LCM) of 7332 and 7341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7332 and 7341. First we will calculate the prime factors of 7332 and 7341.

Prime Factorization of 7332

Prime Factorization of 7341

Now multiplying the highest exponent prime factors to calculate the LCM of 7332 and 7341.

LCM(7332,7341) = 2² × 3¹ × 13¹ × 47¹ × 2447¹
LCM(7332,7341) = 17941404