What is the Least Common Multiple of 67840 and 67855?

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 67840 and 67855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67840 and 67855, than apply into the LCM equation.

GCF(67840,67855) = 5
LCM(67840,67855) = ( 67840 × 67855) / 5
LCM(67840,67855) = 4603283200 / 5
LCM(67840,67855) = 920656640

Least Common Multiple (LCM) of 67840 and 67855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67840 and 67855. First we will calculate the prime factors of 67840 and 67855.

Prime Factorization of 67840

Prime Factorization of 67855

Now multiplying the highest exponent prime factors to calculate the LCM of 67840 and 67855.

LCM(67840,67855) = 2⁸ × 5¹ × 53¹ × 41¹ × 331¹
LCM(67840,67855) = 920656640