What is the Least Common Multiple of 7280 and 7287?

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 7280 and 7287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7280 and 7287, than apply into the LCM equation.

GCF(7280,7287) = 7
LCM(7280,7287) = ( 7280 × 7287) / 7
LCM(7280,7287) = 53049360 / 7
LCM(7280,7287) = 7578480

Least Common Multiple (LCM) of 7280 and 7287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7280 and 7287. First we will calculate the prime factors of 7280 and 7287.

Prime Factorization of 7280

Prime Factorization of 7287

Now multiplying the highest exponent prime factors to calculate the LCM of 7280 and 7287.

LCM(7280,7287) = 2⁴ × 5¹ × 7¹ × 13¹ × 3¹ × 347¹
LCM(7280,7287) = 7578480