What is the Least Common Multiple of 41470 and 41475?

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 41470 and 41475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41470 and 41475, than apply into the LCM equation.

GCF(41470,41475) = 5
LCM(41470,41475) = ( 41470 × 41475) / 5
LCM(41470,41475) = 1719968250 / 5
LCM(41470,41475) = 343993650

Least Common Multiple (LCM) of 41470 and 41475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41470 and 41475. First we will calculate the prime factors of 41470 and 41475.

Prime Factorization of 41470

Prime Factorization of 41475

Now multiplying the highest exponent prime factors to calculate the LCM of 41470 and 41475.

LCM(41470,41475) = 2¹ × 5² × 11¹ × 13¹ × 29¹ × 3¹ × 7¹ × 79¹
LCM(41470,41475) = 343993650