What is the Least Common Multiple of 20070 and 20082?

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 20070 and 20082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20070 and 20082, than apply into the LCM equation.

GCF(20070,20082) = 6
LCM(20070,20082) = ( 20070 × 20082) / 6
LCM(20070,20082) = 403045740 / 6
LCM(20070,20082) = 67174290

Least Common Multiple (LCM) of 20070 and 20082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20070 and 20082. First we will calculate the prime factors of 20070 and 20082.

Prime Factorization of 20070

Prime Factorization of 20082

Now multiplying the highest exponent prime factors to calculate the LCM of 20070 and 20082.

LCM(20070,20082) = 2¹ × 3² × 5¹ × 223¹ × 3347¹
LCM(20070,20082) = 67174290