What is the Least Common Multiple of 41670 and 41685?

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 41670 and 41685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41670 and 41685, than apply into the LCM equation.

GCF(41670,41685) = 15
LCM(41670,41685) = ( 41670 × 41685) / 15
LCM(41670,41685) = 1737013950 / 15
LCM(41670,41685) = 115800930

Least Common Multiple (LCM) of 41670 and 41685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41670 and 41685. First we will calculate the prime factors of 41670 and 41685.

Prime Factorization of 41670

Prime Factorization of 41685

Now multiplying the highest exponent prime factors to calculate the LCM of 41670 and 41685.

LCM(41670,41685) = 2¹ × 3² × 5¹ × 463¹ × 7¹ × 397¹
LCM(41670,41685) = 115800930