What is the Least Common Multiple of 41250 and 41258?

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 41258 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 41258, than apply into the LCM equation.

GCF(41250,41258) = 2
LCM(41250,41258) = ( 41250 × 41258) / 2
LCM(41250,41258) = 1701892500 / 2
LCM(41250,41258) = 850946250

Least Common Multiple (LCM) of 41250 and 41258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41250 and 41258. First we will calculate the prime factors of 41250 and 41258.

Prime Factorization of 41250

Prime Factorization of 41258

Now multiplying the highest exponent prime factors to calculate the LCM of 41250 and 41258.

LCM(41250,41258) = 2¹ × 3¹ × 5⁴ × 11¹ × 7² × 421¹
LCM(41250,41258) = 850946250