What is the Least Common Multiple of 71739 and 71754?

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 71739 and 71754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71739 and 71754, than apply into the LCM equation.

GCF(71739,71754) = 3
LCM(71739,71754) = ( 71739 × 71754) / 3
LCM(71739,71754) = 5147560206 / 3
LCM(71739,71754) = 1715853402

Least Common Multiple (LCM) of 71739 and 71754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71739 and 71754. First we will calculate the prime factors of 71739 and 71754.

Prime Factorization of 71739

Prime Factorization of 71754

Now multiplying the highest exponent prime factors to calculate the LCM of 71739 and 71754.

LCM(71739,71754) = 3³ × 2657¹ × 2¹ × 11959¹
LCM(71739,71754) = 1715853402