What is the Least Common Multiple of 4280 and 4288?

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 4280 and 4288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4280 and 4288, than apply into the LCM equation.

GCF(4280,4288) = 8
LCM(4280,4288) = ( 4280 × 4288) / 8
LCM(4280,4288) = 18352640 / 8
LCM(4280,4288) = 2294080

Least Common Multiple (LCM) of 4280 and 4288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4280 and 4288. First we will calculate the prime factors of 4280 and 4288.

Prime Factorization of 4280

Prime Factorization of 4288

Now multiplying the highest exponent prime factors to calculate the LCM of 4280 and 4288.

LCM(4280,4288) = 2⁶ × 5¹ × 107¹ × 67¹
LCM(4280,4288) = 2294080