What is the Least Common Multiple of 68550 and 68570?

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 68550 and 68570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68550 and 68570, than apply into the LCM equation.

GCF(68550,68570) = 10
LCM(68550,68570) = ( 68550 × 68570) / 10
LCM(68550,68570) = 4700473500 / 10
LCM(68550,68570) = 470047350

Least Common Multiple (LCM) of 68550 and 68570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68550 and 68570. First we will calculate the prime factors of 68550 and 68570.

Prime Factorization of 68550

Prime Factorization of 68570

Now multiplying the highest exponent prime factors to calculate the LCM of 68550 and 68570.

LCM(68550,68570) = 2¹ × 3¹ × 5² × 457¹ × 6857¹
LCM(68550,68570) = 470047350