What is the Least Common Multiple of 4225 and 4242?

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 4225 and 4242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4225 and 4242, than apply into the LCM equation.

GCF(4225,4242) = 1
LCM(4225,4242) = ( 4225 × 4242) / 1
LCM(4225,4242) = 17922450 / 1
LCM(4225,4242) = 17922450

Least Common Multiple (LCM) of 4225 and 4242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4225 and 4242. First we will calculate the prime factors of 4225 and 4242.

Prime Factorization of 4225

Prime Factorization of 4242

Now multiplying the highest exponent prime factors to calculate the LCM of 4225 and 4242.

LCM(4225,4242) = 5² × 13² × 2¹ × 3¹ × 7¹ × 101¹
LCM(4225,4242) = 17922450