What is the Least Common Multiple of 67830 and 67841?

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 67841 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 67841, than apply into the LCM equation.

GCF(67830,67841) = 1
LCM(67830,67841) = ( 67830 × 67841) / 1
LCM(67830,67841) = 4601655030 / 1
LCM(67830,67841) = 4601655030

Least Common Multiple (LCM) of 67830 and 67841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67830 and 67841. First we will calculate the prime factors of 67830 and 67841.

Prime Factorization of 67830

Prime Factorization of 67841

Now multiplying the highest exponent prime factors to calculate the LCM of 67830 and 67841.

LCM(67830,67841) = 2¹ × 3¹ × 5¹ × 7¹ × 17¹ × 19¹ × 179¹ × 379¹
LCM(67830,67841) = 4601655030