What is the Least Common Multiple of 23070 and 23085?

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 23070 and 23085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23070 and 23085, than apply into the LCM equation.

GCF(23070,23085) = 15
LCM(23070,23085) = ( 23070 × 23085) / 15
LCM(23070,23085) = 532570950 / 15
LCM(23070,23085) = 35504730

Least Common Multiple (LCM) of 23070 and 23085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23070 and 23085. First we will calculate the prime factors of 23070 and 23085.

Prime Factorization of 23070

Prime Factorization of 23085

Now multiplying the highest exponent prime factors to calculate the LCM of 23070 and 23085.

LCM(23070,23085) = 2¹ × 3⁵ × 5¹ × 769¹ × 19¹
LCM(23070,23085) = 35504730