What is the Least Common Multiple of 93450 and 93455?

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 93455 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 93455, than apply into the LCM equation.

GCF(93450,93455) = 5
LCM(93450,93455) = ( 93450 × 93455) / 5
LCM(93450,93455) = 8733369750 / 5
LCM(93450,93455) = 1746673950

Least Common Multiple (LCM) of 93450 and 93455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93450 and 93455. First we will calculate the prime factors of 93450 and 93455.

Prime Factorization of 93450

Prime Factorization of 93455

Now multiplying the highest exponent prime factors to calculate the LCM of 93450 and 93455.

LCM(93450,93455) = 2¹ × 3¹ × 5² × 7¹ × 89¹ × 18691¹
LCM(93450,93455) = 1746673950