What is the Least Common Multiple of 84450 and 84458?

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 84450 and 84458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84450 and 84458, than apply into the LCM equation.

GCF(84450,84458) = 2
LCM(84450,84458) = ( 84450 × 84458) / 2
LCM(84450,84458) = 7132478100 / 2
LCM(84450,84458) = 3566239050

Least Common Multiple (LCM) of 84450 and 84458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84450 and 84458. First we will calculate the prime factors of 84450 and 84458.

Prime Factorization of 84450

Prime Factorization of 84458

Now multiplying the highest exponent prime factors to calculate the LCM of 84450 and 84458.

LCM(84450,84458) = 2¹ × 3¹ × 5² × 563¹ × 11² × 349¹
LCM(84450,84458) = 3566239050