What is the Least Common Multiple of 7428 and 7437?

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 7428 and 7437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7428 and 7437, than apply into the LCM equation.

GCF(7428,7437) = 3
LCM(7428,7437) = ( 7428 × 7437) / 3
LCM(7428,7437) = 55242036 / 3
LCM(7428,7437) = 18414012

Least Common Multiple (LCM) of 7428 and 7437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7428 and 7437. First we will calculate the prime factors of 7428 and 7437.

Prime Factorization of 7428

Prime Factorization of 7437

Now multiplying the highest exponent prime factors to calculate the LCM of 7428 and 7437.

LCM(7428,7437) = 2² × 3¹ × 619¹ × 37¹ × 67¹
LCM(7428,7437) = 18414012