What is the Least Common Multiple of 93030 and 93038?

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 93030 and 93038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93030 and 93038, than apply into the LCM equation.

GCF(93030,93038) = 2
LCM(93030,93038) = ( 93030 × 93038) / 2
LCM(93030,93038) = 8655325140 / 2
LCM(93030,93038) = 4327662570

Least Common Multiple (LCM) of 93030 and 93038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93030 and 93038. First we will calculate the prime factors of 93030 and 93038.

Prime Factorization of 93030

Prime Factorization of 93038

Now multiplying the highest exponent prime factors to calculate the LCM of 93030 and 93038.

LCM(93030,93038) = 2¹ × 3¹ × 5¹ × 7¹ × 443¹ × 11¹ × 4229¹
LCM(93030,93038) = 4327662570