What is the Least Common Multiple of 4234 and 4252?

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 4234 and 4252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4234 and 4252, than apply into the LCM equation.

GCF(4234,4252) = 2
LCM(4234,4252) = ( 4234 × 4252) / 2
LCM(4234,4252) = 18002968 / 2
LCM(4234,4252) = 9001484

Least Common Multiple (LCM) of 4234 and 4252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4234 and 4252. First we will calculate the prime factors of 4234 and 4252.

Prime Factorization of 4234

Prime Factorization of 4252

Now multiplying the highest exponent prime factors to calculate the LCM of 4234 and 4252.

LCM(4234,4252) = 2² × 29¹ × 73¹ × 1063¹
LCM(4234,4252) = 9001484