What is the Least Common Multiple of 85770 and 85790?

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 85790 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 85790, than apply into the LCM equation.

GCF(85770,85790) = 10
LCM(85770,85790) = ( 85770 × 85790) / 10
LCM(85770,85790) = 7358208300 / 10
LCM(85770,85790) = 735820830

Least Common Multiple (LCM) of 85770 and 85790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85770 and 85790. First we will calculate the prime factors of 85770 and 85790.

Prime Factorization of 85770

Prime Factorization of 85790

Now multiplying the highest exponent prime factors to calculate the LCM of 85770 and 85790.

LCM(85770,85790) = 2¹ × 3² × 5¹ × 953¹ × 23¹ × 373¹
LCM(85770,85790) = 735820830