What is the Least Common Multiple of 68832 and 68842?

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 68832 and 68842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68832 and 68842, than apply into the LCM equation.

GCF(68832,68842) = 2
LCM(68832,68842) = ( 68832 × 68842) / 2
LCM(68832,68842) = 4738532544 / 2
LCM(68832,68842) = 2369266272

Least Common Multiple (LCM) of 68832 and 68842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68832 and 68842. First we will calculate the prime factors of 68832 and 68842.

Prime Factorization of 68832

Prime Factorization of 68842

Now multiplying the highest exponent prime factors to calculate the LCM of 68832 and 68842.

LCM(68832,68842) = 2⁵ × 3² × 239¹ × 34421¹
LCM(68832,68842) = 2369266272