What is the Least Common Multiple of 84030 and 84050?

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 84050 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 84050, than apply into the LCM equation.

GCF(84030,84050) = 10
LCM(84030,84050) = ( 84030 × 84050) / 10
LCM(84030,84050) = 7062721500 / 10
LCM(84030,84050) = 706272150

Least Common Multiple (LCM) of 84030 and 84050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84030 and 84050. First we will calculate the prime factors of 84030 and 84050.

Prime Factorization of 84030

Prime Factorization of 84050

Now multiplying the highest exponent prime factors to calculate the LCM of 84030 and 84050.

LCM(84030,84050) = 2¹ × 3¹ × 5² × 2801¹ × 41²
LCM(84030,84050) = 706272150