What is the Least Common Multiple of 40242 and 40246?

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 40242 and 40246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40242 and 40246, than apply into the LCM equation.

GCF(40242,40246) = 2
LCM(40242,40246) = ( 40242 × 40246) / 2
LCM(40242,40246) = 1619579532 / 2
LCM(40242,40246) = 809789766

Least Common Multiple (LCM) of 40242 and 40246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40242 and 40246. First we will calculate the prime factors of 40242 and 40246.

Prime Factorization of 40242

Prime Factorization of 40246

Now multiplying the highest exponent prime factors to calculate the LCM of 40242 and 40246.

LCM(40242,40246) = 2¹ × 3¹ × 19¹ × 353¹ × 20123¹
LCM(40242,40246) = 809789766