What is the Least Common Multiple of 16235 and 16252?

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 16235 and 16252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16235 and 16252, than apply into the LCM equation.

GCF(16235,16252) = 17
LCM(16235,16252) = ( 16235 × 16252) / 17
LCM(16235,16252) = 263851220 / 17
LCM(16235,16252) = 15520660

Least Common Multiple (LCM) of 16235 and 16252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16235 and 16252. First we will calculate the prime factors of 16235 and 16252.

Prime Factorization of 16235

Prime Factorization of 16252

Now multiplying the highest exponent prime factors to calculate the LCM of 16235 and 16252.

LCM(16235,16252) = 5¹ × 17¹ × 191¹ × 2² × 239¹
LCM(16235,16252) = 15520660