What is the Least Common Multiple of 7360 and 7367?

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 7367 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 7367, than apply into the LCM equation.

GCF(7360,7367) = 1
LCM(7360,7367) = ( 7360 × 7367) / 1
LCM(7360,7367) = 54221120 / 1
LCM(7360,7367) = 54221120

Least Common Multiple (LCM) of 7360 and 7367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7360 and 7367. First we will calculate the prime factors of 7360 and 7367.

Prime Factorization of 7360

Prime Factorization of 7367

Now multiplying the highest exponent prime factors to calculate the LCM of 7360 and 7367.

LCM(7360,7367) = 2⁶ × 5¹ × 23¹ × 53¹ × 139¹
LCM(7360,7367) = 54221120