What is the Least Common Multiple of 41664 and 41670?

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 41664 and 41670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41664 and 41670, than apply into the LCM equation.

GCF(41664,41670) = 6
LCM(41664,41670) = ( 41664 × 41670) / 6
LCM(41664,41670) = 1736138880 / 6
LCM(41664,41670) = 289356480

Least Common Multiple (LCM) of 41664 and 41670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41664 and 41670. First we will calculate the prime factors of 41664 and 41670.

Prime Factorization of 41664

Prime Factorization of 41670

Now multiplying the highest exponent prime factors to calculate the LCM of 41664 and 41670.

LCM(41664,41670) = 2⁶ × 3² × 7¹ × 31¹ × 5¹ × 463¹
LCM(41664,41670) = 289356480