What is the Least Common Multiple of 4288 and 4300?

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 4288 and 4300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4288 and 4300, than apply into the LCM equation.

GCF(4288,4300) = 4
LCM(4288,4300) = ( 4288 × 4300) / 4
LCM(4288,4300) = 18438400 / 4
LCM(4288,4300) = 4609600

Least Common Multiple (LCM) of 4288 and 4300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4288 and 4300. First we will calculate the prime factors of 4288 and 4300.

Prime Factorization of 4288

Prime Factorization of 4300

Now multiplying the highest exponent prime factors to calculate the LCM of 4288 and 4300.

LCM(4288,4300) = 2⁶ × 67¹ × 5² × 43¹
LCM(4288,4300) = 4609600