What is the Least Common Multiple of 87102 and 87117?

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 87102 and 87117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87102 and 87117, than apply into the LCM equation.

GCF(87102,87117) = 3
LCM(87102,87117) = ( 87102 × 87117) / 3
LCM(87102,87117) = 7588064934 / 3
LCM(87102,87117) = 2529354978

Least Common Multiple (LCM) of 87102 and 87117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87102 and 87117. First we will calculate the prime factors of 87102 and 87117.

Prime Factorization of 87102

Prime Factorization of 87117

Now multiplying the highest exponent prime factors to calculate the LCM of 87102 and 87117.

LCM(87102,87117) = 2¹ × 3³ × 1613¹ × 71¹ × 409¹
LCM(87102,87117) = 2529354978