What is the Least Common Multiple of 87018 and 87037?

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 87018 and 87037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87018 and 87037, than apply into the LCM equation.

GCF(87018,87037) = 1
LCM(87018,87037) = ( 87018 × 87037) / 1
LCM(87018,87037) = 7573785666 / 1
LCM(87018,87037) = 7573785666

Least Common Multiple (LCM) of 87018 and 87037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87018 and 87037. First we will calculate the prime factors of 87018 and 87037.

Prime Factorization of 87018

Prime Factorization of 87037

Now multiplying the highest exponent prime factors to calculate the LCM of 87018 and 87037.

LCM(87018,87037) = 2¹ × 3¹ × 14503¹ × 87037¹
LCM(87018,87037) = 7573785666