What is the Least Common Multiple of 88758 and 88770?

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 88758 and 88770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88758 and 88770, than apply into the LCM equation.

GCF(88758,88770) = 6
LCM(88758,88770) = ( 88758 × 88770) / 6
LCM(88758,88770) = 7879047660 / 6
LCM(88758,88770) = 1313174610

Least Common Multiple (LCM) of 88758 and 88770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88758 and 88770. First we will calculate the prime factors of 88758 and 88770.

Prime Factorization of 88758

Prime Factorization of 88770

Now multiplying the highest exponent prime factors to calculate the LCM of 88758 and 88770.

LCM(88758,88770) = 2¹ × 3² × 4931¹ × 5¹ × 11¹ × 269¹
LCM(88758,88770) = 1313174610