What is the Least Common Multiple of 85770 and 85788?

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 85770 and 85788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85770 and 85788, than apply into the LCM equation.

GCF(85770,85788) = 18
LCM(85770,85788) = ( 85770 × 85788) / 18
LCM(85770,85788) = 7358036760 / 18
LCM(85770,85788) = 408779820

Least Common Multiple (LCM) of 85770 and 85788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85770 and 85788. First we will calculate the prime factors of 85770 and 85788.

Prime Factorization of 85770

Prime Factorization of 85788

Now multiplying the highest exponent prime factors to calculate the LCM of 85770 and 85788.

LCM(85770,85788) = 2² × 3² × 5¹ × 953¹ × 2383¹
LCM(85770,85788) = 408779820