What is the Least Common Multiple of 87770 and 87784?

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 87770 and 87784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87770 and 87784, than apply into the LCM equation.

GCF(87770,87784) = 2
LCM(87770,87784) = ( 87770 × 87784) / 2
LCM(87770,87784) = 7704801680 / 2
LCM(87770,87784) = 3852400840

Least Common Multiple (LCM) of 87770 and 87784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87770 and 87784. First we will calculate the prime factors of 87770 and 87784.

Prime Factorization of 87770

Prime Factorization of 87784

Now multiplying the highest exponent prime factors to calculate the LCM of 87770 and 87784.

LCM(87770,87784) = 2³ × 5¹ × 67¹ × 131¹ × 10973¹
LCM(87770,87784) = 3852400840