What is the Least Common Multiple of 7104 and 7109?

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 7104 and 7109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7104 and 7109, than apply into the LCM equation.

GCF(7104,7109) = 1
LCM(7104,7109) = ( 7104 × 7109) / 1
LCM(7104,7109) = 50502336 / 1
LCM(7104,7109) = 50502336

Least Common Multiple (LCM) of 7104 and 7109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7104 and 7109. First we will calculate the prime factors of 7104 and 7109.

Prime Factorization of 7104

Prime Factorization of 7109

Now multiplying the highest exponent prime factors to calculate the LCM of 7104 and 7109.

LCM(7104,7109) = 2⁶ × 3¹ × 37¹ × 7109¹
LCM(7104,7109) = 50502336