What is the Least Common Multiple of 43770 and 43788?

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 43770 and 43788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43770 and 43788, than apply into the LCM equation.

GCF(43770,43788) = 6
LCM(43770,43788) = ( 43770 × 43788) / 6
LCM(43770,43788) = 1916600760 / 6
LCM(43770,43788) = 319433460

Least Common Multiple (LCM) of 43770 and 43788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43770 and 43788. First we will calculate the prime factors of 43770 and 43788.

Prime Factorization of 43770

Prime Factorization of 43788

Now multiplying the highest exponent prime factors to calculate the LCM of 43770 and 43788.

LCM(43770,43788) = 2² × 3¹ × 5¹ × 1459¹ × 41¹ × 89¹
LCM(43770,43788) = 319433460