What is the Least Common Multiple of 41310 and 41325?

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 41310 and 41325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41310 and 41325, than apply into the LCM equation.

GCF(41310,41325) = 15
LCM(41310,41325) = ( 41310 × 41325) / 15
LCM(41310,41325) = 1707135750 / 15
LCM(41310,41325) = 113809050

Least Common Multiple (LCM) of 41310 and 41325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41310 and 41325. First we will calculate the prime factors of 41310 and 41325.

Prime Factorization of 41310

Prime Factorization of 41325

Now multiplying the highest exponent prime factors to calculate the LCM of 41310 and 41325.

LCM(41310,41325) = 2¹ × 3⁵ × 5² × 17¹ × 19¹ × 29¹
LCM(41310,41325) = 113809050