What is the Least Common Multiple of 4270 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 4270 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 4270 and 4288, than apply into the LCM equation.

GCF(4270,4288) = 2
LCM(4270,4288) = ( 4270 × 4288) / 2
LCM(4270,4288) = 18309760 / 2
LCM(4270,4288) = 9154880

Least Common Multiple (LCM) of 4270 and 4288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4270 and 4288. First we will calculate the prime factors of 4270 and 4288.

Prime Factorization of 4270

Prime Factorization of 4288

Now multiplying the highest exponent prime factors to calculate the LCM of 4270 and 4288.

LCM(4270,4288) = 2⁶ × 5¹ × 7¹ × 61¹ × 67¹
LCM(4270,4288) = 9154880