What is the Least Common Multiple of 7204 and 7208?

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 7204 and 7208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7204 and 7208, than apply into the LCM equation.

GCF(7204,7208) = 4
LCM(7204,7208) = ( 7204 × 7208) / 4
LCM(7204,7208) = 51926432 / 4
LCM(7204,7208) = 12981608

Least Common Multiple (LCM) of 7204 and 7208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7204 and 7208. First we will calculate the prime factors of 7204 and 7208.

Prime Factorization of 7204

Prime Factorization of 7208

Now multiplying the highest exponent prime factors to calculate the LCM of 7204 and 7208.

LCM(7204,7208) = 2³ × 1801¹ × 17¹ × 53¹
LCM(7204,7208) = 12981608