What is the Least Common Multiple of 93015 and 93034?

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 93015 and 93034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93015 and 93034, than apply into the LCM equation.

GCF(93015,93034) = 1
LCM(93015,93034) = ( 93015 × 93034) / 1
LCM(93015,93034) = 8653557510 / 1
LCM(93015,93034) = 8653557510

Least Common Multiple (LCM) of 93015 and 93034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93015 and 93034. First we will calculate the prime factors of 93015 and 93034.

Prime Factorization of 93015

Prime Factorization of 93034

Now multiplying the highest exponent prime factors to calculate the LCM of 93015 and 93034.

LCM(93015,93034) = 3³ × 5¹ × 13¹ × 53¹ × 2¹ × 181¹ × 257¹
LCM(93015,93034) = 8653557510