What is the Least Common Multiple of 71754 and 71762?

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 71762 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 71762, than apply into the LCM equation.

GCF(71754,71762) = 2
LCM(71754,71762) = ( 71754 × 71762) / 2
LCM(71754,71762) = 5149210548 / 2
LCM(71754,71762) = 2574605274

Least Common Multiple (LCM) of 71754 and 71762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71754 and 71762. First we will calculate the prime factors of 71754 and 71762.

Prime Factorization of 71754

Prime Factorization of 71762

Now multiplying the highest exponent prime factors to calculate the LCM of 71754 and 71762.

LCM(71754,71762) = 2¹ × 3¹ × 11959¹ × 53¹ × 677¹
LCM(71754,71762) = 2574605274