What is the Least Common Multiple of 67840 and 67854?

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 67854 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 67854, than apply into the LCM equation.

GCF(67840,67854) = 2
LCM(67840,67854) = ( 67840 × 67854) / 2
LCM(67840,67854) = 4603215360 / 2
LCM(67840,67854) = 2301607680

Least Common Multiple (LCM) of 67840 and 67854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67840 and 67854. First we will calculate the prime factors of 67840 and 67854.

Prime Factorization of 67840

Prime Factorization of 67854

Now multiplying the highest exponent prime factors to calculate the LCM of 67840 and 67854.

LCM(67840,67854) = 2⁸ × 5¹ × 53¹ × 3¹ × 43¹ × 263¹
LCM(67840,67854) = 2301607680