What is the Least Common Multiple of 7189 and 7204?

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 7189 and 7204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7189 and 7204, than apply into the LCM equation.

GCF(7189,7204) = 1
LCM(7189,7204) = ( 7189 × 7204) / 1
LCM(7189,7204) = 51789556 / 1
LCM(7189,7204) = 51789556

Least Common Multiple (LCM) of 7189 and 7204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7189 and 7204. First we will calculate the prime factors of 7189 and 7204.

Prime Factorization of 7189

Prime Factorization of 7204

Now multiplying the highest exponent prime factors to calculate the LCM of 7189 and 7204.

LCM(7189,7204) = 7¹ × 13¹ × 79¹ × 2² × 1801¹
LCM(7189,7204) = 51789556