What is the Least Common Multiple of 87114 and 87133?

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 87114 and 87133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87114 and 87133, than apply into the LCM equation.

GCF(87114,87133) = 1
LCM(87114,87133) = ( 87114 × 87133) / 1
LCM(87114,87133) = 7590504162 / 1
LCM(87114,87133) = 7590504162

Least Common Multiple (LCM) of 87114 and 87133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87114 and 87133. First we will calculate the prime factors of 87114 and 87133.

Prime Factorization of 87114

Prime Factorization of 87133

Now multiplying the highest exponent prime factors to calculate the LCM of 87114 and 87133.

LCM(87114,87133) = 2¹ × 3¹ × 14519¹ × 87133¹
LCM(87114,87133) = 7590504162