What is the Least Common Multiple of 7314 and 7320?

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 7314 and 7320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7314 and 7320, than apply into the LCM equation.

GCF(7314,7320) = 6
LCM(7314,7320) = ( 7314 × 7320) / 6
LCM(7314,7320) = 53538480 / 6
LCM(7314,7320) = 8923080

Least Common Multiple (LCM) of 7314 and 7320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7314 and 7320. First we will calculate the prime factors of 7314 and 7320.

Prime Factorization of 7314

Prime Factorization of 7320

Now multiplying the highest exponent prime factors to calculate the LCM of 7314 and 7320.

LCM(7314,7320) = 2³ × 3¹ × 23¹ × 53¹ × 5¹ × 61¹
LCM(7314,7320) = 8923080