What is the Least Common Multiple of 68700 and 68709?

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 68700 and 68709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68700 and 68709, than apply into the LCM equation.

GCF(68700,68709) = 3
LCM(68700,68709) = ( 68700 × 68709) / 3
LCM(68700,68709) = 4720308300 / 3
LCM(68700,68709) = 1573436100

Least Common Multiple (LCM) of 68700 and 68709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68700 and 68709. First we will calculate the prime factors of 68700 and 68709.

Prime Factorization of 68700

Prime Factorization of 68709

Now multiplying the highest exponent prime factors to calculate the LCM of 68700 and 68709.

LCM(68700,68709) = 2² × 3¹ × 5² × 229¹ × 37¹ × 619¹
LCM(68700,68709) = 1573436100