What is the Least Common Multiple of 65070 and 65085?

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 65070 and 65085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65070 and 65085, than apply into the LCM equation.

GCF(65070,65085) = 15
LCM(65070,65085) = ( 65070 × 65085) / 15
LCM(65070,65085) = 4235080950 / 15
LCM(65070,65085) = 282338730

Least Common Multiple (LCM) of 65070 and 65085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65070 and 65085. First we will calculate the prime factors of 65070 and 65085.

Prime Factorization of 65070

Prime Factorization of 65085

Now multiplying the highest exponent prime factors to calculate the LCM of 65070 and 65085.

LCM(65070,65085) = 2¹ × 3³ × 5¹ × 241¹ × 4339¹
LCM(65070,65085) = 282338730