What is the Least Common Multiple of 88770 and 88782?

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 88770 and 88782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88770 and 88782, than apply into the LCM equation.

GCF(88770,88782) = 6
LCM(88770,88782) = ( 88770 × 88782) / 6
LCM(88770,88782) = 7881178140 / 6
LCM(88770,88782) = 1313529690

Least Common Multiple (LCM) of 88770 and 88782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88770 and 88782. First we will calculate the prime factors of 88770 and 88782.

Prime Factorization of 88770

Prime Factorization of 88782

Now multiplying the highest exponent prime factors to calculate the LCM of 88770 and 88782.

LCM(88770,88782) = 2¹ × 3¹ × 5¹ × 11¹ × 269¹ × 14797¹
LCM(88770,88782) = 1313529690