What is the Least Common Multiple of 67030 and 67045?

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 67030 and 67045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67030 and 67045, than apply into the LCM equation.

GCF(67030,67045) = 5
LCM(67030,67045) = ( 67030 × 67045) / 5
LCM(67030,67045) = 4494026350 / 5
LCM(67030,67045) = 898805270

Least Common Multiple (LCM) of 67030 and 67045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67030 and 67045. First we will calculate the prime factors of 67030 and 67045.

Prime Factorization of 67030

Prime Factorization of 67045

Now multiplying the highest exponent prime factors to calculate the LCM of 67030 and 67045.

LCM(67030,67045) = 2¹ × 5¹ × 6703¹ × 11¹ × 23¹ × 53¹
LCM(67030,67045) = 898805270