What is the Least Common Multiple of 67830 and 67849?

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 67849 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 67849, than apply into the LCM equation.

GCF(67830,67849) = 19
LCM(67830,67849) = ( 67830 × 67849) / 19
LCM(67830,67849) = 4602197670 / 19
LCM(67830,67849) = 242220930

Least Common Multiple (LCM) of 67830 and 67849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67830 and 67849. First we will calculate the prime factors of 67830 and 67849.

Prime Factorization of 67830

Prime Factorization of 67849

Now multiplying the highest exponent prime factors to calculate the LCM of 67830 and 67849.

LCM(67830,67849) = 2¹ × 3¹ × 5¹ × 7¹ × 17¹ × 19¹ × 3571¹
LCM(67830,67849) = 242220930