What is the Least Common Multiple of 87754 and 87770?

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 87754 and 87770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87754 and 87770, than apply into the LCM equation.

GCF(87754,87770) = 2
LCM(87754,87770) = ( 87754 × 87770) / 2
LCM(87754,87770) = 7702168580 / 2
LCM(87754,87770) = 3851084290

Least Common Multiple (LCM) of 87754 and 87770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87754 and 87770. First we will calculate the prime factors of 87754 and 87770.

Prime Factorization of 87754

Prime Factorization of 87770

Now multiplying the highest exponent prime factors to calculate the LCM of 87754 and 87770.

LCM(87754,87770) = 2¹ × 17¹ × 29¹ × 89¹ × 5¹ × 67¹ × 131¹
LCM(87754,87770) = 3851084290