What is the Least Common Multiple of 41653 and 41666?

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 41653 and 41666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41653 and 41666, than apply into the LCM equation.

GCF(41653,41666) = 1
LCM(41653,41666) = ( 41653 × 41666) / 1
LCM(41653,41666) = 1735513898 / 1
LCM(41653,41666) = 1735513898

Least Common Multiple (LCM) of 41653 and 41666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41653 and 41666. First we will calculate the prime factors of 41653 and 41666.

Prime Factorization of 41653

Prime Factorization of 41666

Now multiplying the highest exponent prime factors to calculate the LCM of 41653 and 41666.

LCM(41653,41666) = 23¹ × 1811¹ × 2¹ × 83¹ × 251¹
LCM(41653,41666) = 1735513898