What is the Least Common Multiple of 68109 and 68127?

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 68109 and 68127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68109 and 68127, than apply into the LCM equation.

GCF(68109,68127) = 3
LCM(68109,68127) = ( 68109 × 68127) / 3
LCM(68109,68127) = 4640061843 / 3
LCM(68109,68127) = 1546687281

Least Common Multiple (LCM) of 68109 and 68127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68109 and 68127. First we will calculate the prime factors of 68109 and 68127.

Prime Factorization of 68109

Prime Factorization of 68127

Now multiplying the highest exponent prime factors to calculate the LCM of 68109 and 68127.

LCM(68109,68127) = 3¹ × 73¹ × 311¹ × 22709¹
LCM(68109,68127) = 1546687281