What is the Least Common Multiple of 93058 and 93075?

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 93058 and 93075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93058 and 93075, than apply into the LCM equation.

GCF(93058,93075) = 17
LCM(93058,93075) = ( 93058 × 93075) / 17
LCM(93058,93075) = 8661373350 / 17
LCM(93058,93075) = 509492550

Least Common Multiple (LCM) of 93058 and 93075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93058 and 93075. First we will calculate the prime factors of 93058 and 93075.

Prime Factorization of 93058

Prime Factorization of 93075

Now multiplying the highest exponent prime factors to calculate the LCM of 93058 and 93075.

LCM(93058,93075) = 2¹ × 7¹ × 17² × 23¹ × 3¹ × 5² × 73¹
LCM(93058,93075) = 509492550