What is the Least Common Multiple of 93570 and 93587?

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 93570 and 93587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93570 and 93587, than apply into the LCM equation.

GCF(93570,93587) = 1
LCM(93570,93587) = ( 93570 × 93587) / 1
LCM(93570,93587) = 8756935590 / 1
LCM(93570,93587) = 8756935590

Least Common Multiple (LCM) of 93570 and 93587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93570 and 93587. First we will calculate the prime factors of 93570 and 93587.

Prime Factorization of 93570

Prime Factorization of 93587

Now multiplying the highest exponent prime factors to calculate the LCM of 93570 and 93587.

LCM(93570,93587) = 2¹ × 3¹ × 5¹ × 3119¹ × 13¹ × 23¹ × 313¹
LCM(93570,93587) = 8756935590