What is the Least Common Multiple of 7360 and 7365?

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 7360 and 7365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7360 and 7365, than apply into the LCM equation.

GCF(7360,7365) = 5
LCM(7360,7365) = ( 7360 × 7365) / 5
LCM(7360,7365) = 54206400 / 5
LCM(7360,7365) = 10841280

Least Common Multiple (LCM) of 7360 and 7365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7360 and 7365. First we will calculate the prime factors of 7360 and 7365.

Prime Factorization of 7360

Prime Factorization of 7365

Now multiplying the highest exponent prime factors to calculate the LCM of 7360 and 7365.

LCM(7360,7365) = 2⁶ × 5¹ × 23¹ × 3¹ × 491¹
LCM(7360,7365) = 10841280