What is the Least Common Multiple of 83070 and 83085?

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 83070 and 83085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83070 and 83085, than apply into the LCM equation.

GCF(83070,83085) = 15
LCM(83070,83085) = ( 83070 × 83085) / 15
LCM(83070,83085) = 6901870950 / 15
LCM(83070,83085) = 460124730

Least Common Multiple (LCM) of 83070 and 83085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83070 and 83085. First we will calculate the prime factors of 83070 and 83085.

Prime Factorization of 83070

Prime Factorization of 83085

Now multiplying the highest exponent prime factors to calculate the LCM of 83070 and 83085.

LCM(83070,83085) = 2¹ × 3² × 5¹ × 13¹ × 71¹ × 29¹ × 191¹
LCM(83070,83085) = 460124730