What is the Least Common Multiple of 67138 and 67142?

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 67138 and 67142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67138 and 67142, than apply into the LCM equation.

GCF(67138,67142) = 2
LCM(67138,67142) = ( 67138 × 67142) / 2
LCM(67138,67142) = 4507779596 / 2
LCM(67138,67142) = 2253889798

Least Common Multiple (LCM) of 67138 and 67142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67138 and 67142. First we will calculate the prime factors of 67138 and 67142.

Prime Factorization of 67138

Prime Factorization of 67142

Now multiplying the highest exponent prime factors to calculate the LCM of 67138 and 67142.

LCM(67138,67142) = 2¹ × 33569¹ × 59¹ × 569¹
LCM(67138,67142) = 2253889798