What is the Least Common Multiple of 67811 and 67830?

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 67811 and 67830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67811 and 67830, than apply into the LCM equation.

GCF(67811,67830) = 19
LCM(67811,67830) = ( 67811 × 67830) / 19
LCM(67811,67830) = 4599620130 / 19
LCM(67811,67830) = 242085270

Least Common Multiple (LCM) of 67811 and 67830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67811 and 67830. First we will calculate the prime factors of 67811 and 67830.

Prime Factorization of 67811

Prime Factorization of 67830

Now multiplying the highest exponent prime factors to calculate the LCM of 67811 and 67830.

LCM(67811,67830) = 19¹ × 43¹ × 83¹ × 2¹ × 3¹ × 5¹ × 7¹ × 17¹
LCM(67811,67830) = 242085270