What is the Least Common Multiple of 93030 and 93037?

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 93037 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 93037, than apply into the LCM equation.

GCF(93030,93037) = 7
LCM(93030,93037) = ( 93030 × 93037) / 7
LCM(93030,93037) = 8655232110 / 7
LCM(93030,93037) = 1236461730

Least Common Multiple (LCM) of 93030 and 93037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93030 and 93037. First we will calculate the prime factors of 93030 and 93037.

Prime Factorization of 93030

Prime Factorization of 93037

Now multiplying the highest exponent prime factors to calculate the LCM of 93030 and 93037.

LCM(93030,93037) = 2¹ × 3¹ × 5¹ × 7¹ × 443¹ × 13291¹
LCM(93030,93037) = 1236461730