What is the Least Common Multiple of 84030 and 84035?

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 84030 and 84035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84030 and 84035, than apply into the LCM equation.

GCF(84030,84035) = 5
LCM(84030,84035) = ( 84030 × 84035) / 5
LCM(84030,84035) = 7061461050 / 5
LCM(84030,84035) = 1412292210

Least Common Multiple (LCM) of 84030 and 84035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84030 and 84035. First we will calculate the prime factors of 84030 and 84035.

Prime Factorization of 84030

Prime Factorization of 84035

Now multiplying the highest exponent prime factors to calculate the LCM of 84030 and 84035.

LCM(84030,84035) = 2¹ × 3¹ × 5¹ × 2801¹ × 7⁵
LCM(84030,84035) = 1412292210