What is the Least Common Multiple of 93450 and 93458?

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 93450 and 93458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93450 and 93458, than apply into the LCM equation.

GCF(93450,93458) = 2
LCM(93450,93458) = ( 93450 × 93458) / 2
LCM(93450,93458) = 8733650100 / 2
LCM(93450,93458) = 4366825050

Least Common Multiple (LCM) of 93450 and 93458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93450 and 93458. First we will calculate the prime factors of 93450 and 93458.

Prime Factorization of 93450

Prime Factorization of 93458

Now multiplying the highest exponent prime factors to calculate the LCM of 93450 and 93458.

LCM(93450,93458) = 2¹ × 3¹ × 5² × 7¹ × 89¹ × 83¹ × 563¹
LCM(93450,93458) = 4366825050