What is the Least Common Multiple of 68146 and 68159?

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 68146 and 68159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68146 and 68159, than apply into the LCM equation.

GCF(68146,68159) = 13
LCM(68146,68159) = ( 68146 × 68159) / 13
LCM(68146,68159) = 4644763214 / 13
LCM(68146,68159) = 357289478

Least Common Multiple (LCM) of 68146 and 68159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68146 and 68159. First we will calculate the prime factors of 68146 and 68159.

Prime Factorization of 68146

Prime Factorization of 68159

Now multiplying the highest exponent prime factors to calculate the LCM of 68146 and 68159.

LCM(68146,68159) = 2¹ × 13¹ × 2621¹ × 7² × 107¹
LCM(68146,68159) = 357289478