What is the Least Common Multiple of 41493 and 41506?

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 41493 and 41506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41493 and 41506, than apply into the LCM equation.

GCF(41493,41506) = 1
LCM(41493,41506) = ( 41493 × 41506) / 1
LCM(41493,41506) = 1722208458 / 1
LCM(41493,41506) = 1722208458

Least Common Multiple (LCM) of 41493 and 41506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41493 and 41506. First we will calculate the prime factors of 41493 and 41506.

Prime Factorization of 41493

Prime Factorization of 41506

Now multiplying the highest exponent prime factors to calculate the LCM of 41493 and 41506.

LCM(41493,41506) = 3¹ × 13831¹ × 2¹ × 20753¹
LCM(41493,41506) = 1722208458