What is the Least Common Multiple of 41250 and 41270?

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 41250 and 41270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41250 and 41270, than apply into the LCM equation.

GCF(41250,41270) = 10
LCM(41250,41270) = ( 41250 × 41270) / 10
LCM(41250,41270) = 1702387500 / 10
LCM(41250,41270) = 170238750

Least Common Multiple (LCM) of 41250 and 41270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41250 and 41270. First we will calculate the prime factors of 41250 and 41270.

Prime Factorization of 41250

Prime Factorization of 41270

Now multiplying the highest exponent prime factors to calculate the LCM of 41250 and 41270.

LCM(41250,41270) = 2¹ × 3¹ × 5⁴ × 11¹ × 4127¹
LCM(41250,41270) = 170238750