GCF and LCM Calculator Logo

What is the Least Common Multiple of 41650 and 41659?

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 (LCM) of 41650 and 41659 is 1735097350.

LCM(41650,41659) = 1735097350

LCM Calculator and
and

Least Common Multiple of 41650 and 41659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41650 and 41659, than apply into the LCM equation.

GCF(41650,41659) = 1
LCM(41650,41659) = ( 41650 × 41659) / 1
LCM(41650,41659) = 1735097350 / 1
LCM(41650,41659) = 1735097350

Least Common Multiple (LCM) of 41650 and 41659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41650 and 41659. First we will calculate the prime factors of 41650 and 41659.

Prime Factorization of 41650

Prime factors of 41650 are 2, 5, 7, 17. Prime factorization of 41650 in exponential form is:

41650 = 21 × 52 × 72 × 171

Prime Factorization of 41659

Prime factors of 41659 are 41659. Prime factorization of 41659 in exponential form is:

41659 = 416591

Now multiplying the highest exponent prime factors to calculate the LCM of 41650 and 41659.

LCM(41650,41659) = 21 × 52 × 72 × 171 × 416591
LCM(41650,41659) = 1735097350