What is the Least Common Multiple of 68142 and 68154?

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 68142 and 68154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68142 and 68154, than apply into the LCM equation.

GCF(68142,68154) = 6
LCM(68142,68154) = ( 68142 × 68154) / 6
LCM(68142,68154) = 4644149868 / 6
LCM(68142,68154) = 774024978

Least Common Multiple (LCM) of 68142 and 68154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68142 and 68154. First we will calculate the prime factors of 68142 and 68154.

Prime Factorization of 68142

Prime Factorization of 68154

Now multiplying the highest exponent prime factors to calculate the LCM of 68142 and 68154.

LCM(68142,68154) = 2¹ × 3¹ × 41¹ × 277¹ × 37¹ × 307¹
LCM(68142,68154) = 774024978