What is the Least Common Multiple of 71754 and 71773?

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 71754 and 71773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71754 and 71773, than apply into the LCM equation.

GCF(71754,71773) = 1
LCM(71754,71773) = ( 71754 × 71773) / 1
LCM(71754,71773) = 5149999842 / 1
LCM(71754,71773) = 5149999842

Least Common Multiple (LCM) of 71754 and 71773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71754 and 71773. First we will calculate the prime factors of 71754 and 71773.

Prime Factorization of 71754

Prime Factorization of 71773

Now multiplying the highest exponent prime factors to calculate the LCM of 71754 and 71773.

LCM(71754,71773) = 2¹ × 3¹ × 11959¹ × 13¹ × 5521¹
LCM(71754,71773) = 5149999842