What is the Least Common Multiple of 67842 and 67851?

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 67842 and 67851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67842 and 67851, than apply into the LCM equation.

GCF(67842,67851) = 9
LCM(67842,67851) = ( 67842 × 67851) / 9
LCM(67842,67851) = 4603147542 / 9
LCM(67842,67851) = 511460838

Least Common Multiple (LCM) of 67842 and 67851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67842 and 67851. First we will calculate the prime factors of 67842 and 67851.

Prime Factorization of 67842

Prime Factorization of 67851

Now multiplying the highest exponent prime factors to calculate the LCM of 67842 and 67851.

LCM(67842,67851) = 2¹ × 3³ × 3769¹ × 7¹ × 359¹
LCM(67842,67851) = 511460838