What is the Least Common Multiple of 7350 and 7369?

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 7350 and 7369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7350 and 7369, than apply into the LCM equation.

GCF(7350,7369) = 1
LCM(7350,7369) = ( 7350 × 7369) / 1
LCM(7350,7369) = 54162150 / 1
LCM(7350,7369) = 54162150

Least Common Multiple (LCM) of 7350 and 7369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7350 and 7369. First we will calculate the prime factors of 7350 and 7369.

Prime Factorization of 7350

Prime Factorization of 7369

Now multiplying the highest exponent prime factors to calculate the LCM of 7350 and 7369.

LCM(7350,7369) = 2¹ × 3¹ × 5² × 7² × 7369¹
LCM(7350,7369) = 54162150