What is the Least Common Multiple of 93050 and 93055?

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 93050 and 93055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93050 and 93055, than apply into the LCM equation.

GCF(93050,93055) = 5
LCM(93050,93055) = ( 93050 × 93055) / 5
LCM(93050,93055) = 8658767750 / 5
LCM(93050,93055) = 1731753550

Least Common Multiple (LCM) of 93050 and 93055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93050 and 93055. First we will calculate the prime factors of 93050 and 93055.

Prime Factorization of 93050

Prime Factorization of 93055

Now multiplying the highest exponent prime factors to calculate the LCM of 93050 and 93055.

LCM(93050,93055) = 2¹ × 5² × 1861¹ × 37¹ × 503¹
LCM(93050,93055) = 1731753550