What is the Least Common Multiple of 68007 and 68022?

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 68007 and 68022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68007 and 68022, than apply into the LCM equation.

GCF(68007,68022) = 3
LCM(68007,68022) = ( 68007 × 68022) / 3
LCM(68007,68022) = 4625972154 / 3
LCM(68007,68022) = 1541990718

Least Common Multiple (LCM) of 68007 and 68022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68007 and 68022. First we will calculate the prime factors of 68007 and 68022.

Prime Factorization of 68007

Prime Factorization of 68022

Now multiplying the highest exponent prime factors to calculate the LCM of 68007 and 68022.

LCM(68007,68022) = 3² × 22669¹ × 2¹ × 3779¹
LCM(68007,68022) = 1541990718