What is the Least Common Multiple of 80850 and 80870?

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 80850 and 80870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80850 and 80870, than apply into the LCM equation.

GCF(80850,80870) = 10
LCM(80850,80870) = ( 80850 × 80870) / 10
LCM(80850,80870) = 6538339500 / 10
LCM(80850,80870) = 653833950

Least Common Multiple (LCM) of 80850 and 80870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80850 and 80870. First we will calculate the prime factors of 80850 and 80870.

Prime Factorization of 80850

Prime Factorization of 80870

Now multiplying the highest exponent prime factors to calculate the LCM of 80850 and 80870.

LCM(80850,80870) = 2¹ × 3¹ × 5² × 7² × 11¹ × 8087¹
LCM(80850,80870) = 653833950