What is the Least Common Multiple of 41660 and 41679?

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 41660 and 41679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41660 and 41679, than apply into the LCM equation.

GCF(41660,41679) = 1
LCM(41660,41679) = ( 41660 × 41679) / 1
LCM(41660,41679) = 1736347140 / 1
LCM(41660,41679) = 1736347140

Least Common Multiple (LCM) of 41660 and 41679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41660 and 41679. First we will calculate the prime factors of 41660 and 41679.

Prime Factorization of 41660

Prime Factorization of 41679

Now multiplying the highest exponent prime factors to calculate the LCM of 41660 and 41679.

LCM(41660,41679) = 2² × 5¹ × 2083¹ × 3² × 11¹ × 421¹
LCM(41660,41679) = 1736347140