What is the Least Common Multiple of 67830 and 67847?

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 67830 and 67847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67830 and 67847, than apply into the LCM equation.

GCF(67830,67847) = 17
LCM(67830,67847) = ( 67830 × 67847) / 17
LCM(67830,67847) = 4602062010 / 17
LCM(67830,67847) = 270709530

Least Common Multiple (LCM) of 67830 and 67847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67830 and 67847. First we will calculate the prime factors of 67830 and 67847.

Prime Factorization of 67830

Prime Factorization of 67847

Now multiplying the highest exponent prime factors to calculate the LCM of 67830 and 67847.

LCM(67830,67847) = 2¹ × 3¹ × 5¹ × 7¹ × 17¹ × 19¹ × 13¹ × 307¹
LCM(67830,67847) = 270709530