What is the Least Common Multiple of 67830 and 67848?

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 67848 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 67848, than apply into the LCM equation.

GCF(67830,67848) = 6
LCM(67830,67848) = ( 67830 × 67848) / 6
LCM(67830,67848) = 4602129840 / 6
LCM(67830,67848) = 767021640

Least Common Multiple (LCM) of 67830 and 67848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67830 and 67848. First we will calculate the prime factors of 67830 and 67848.

Prime Factorization of 67830

Prime Factorization of 67848

Now multiplying the highest exponent prime factors to calculate the LCM of 67830 and 67848.

LCM(67830,67848) = 2³ × 3¹ × 5¹ × 7¹ × 17¹ × 19¹ × 11¹ × 257¹
LCM(67830,67848) = 767021640