What is the Least Common Multiple of 85758 and 85770?

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 85758 and 85770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85758 and 85770, than apply into the LCM equation.

GCF(85758,85770) = 6
LCM(85758,85770) = ( 85758 × 85770) / 6
LCM(85758,85770) = 7355463660 / 6
LCM(85758,85770) = 1225910610

Least Common Multiple (LCM) of 85758 and 85770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85758 and 85770. First we will calculate the prime factors of 85758 and 85770.

Prime Factorization of 85758

Prime Factorization of 85770

Now multiplying the highest exponent prime factors to calculate the LCM of 85758 and 85770.

LCM(85758,85770) = 2¹ × 3² × 14293¹ × 5¹ × 953¹
LCM(85758,85770) = 1225910610