What is the Least Common Multiple of 87738 and 87747?

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 87738 and 87747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87738 and 87747, than apply into the LCM equation.

GCF(87738,87747) = 3
LCM(87738,87747) = ( 87738 × 87747) / 3
LCM(87738,87747) = 7698746286 / 3
LCM(87738,87747) = 2566248762

Least Common Multiple (LCM) of 87738 and 87747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87738 and 87747. First we will calculate the prime factors of 87738 and 87747.

Prime Factorization of 87738

Prime Factorization of 87747

Now multiplying the highest exponent prime factors to calculate the LCM of 87738 and 87747.

LCM(87738,87747) = 2¹ × 3¹ × 7¹ × 2089¹ × 11¹ × 2659¹
LCM(87738,87747) = 2566248762