What is the Least Common Multiple of 68514 and 68526?

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 68514 and 68526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68514 and 68526, than apply into the LCM equation.

GCF(68514,68526) = 6
LCM(68514,68526) = ( 68514 × 68526) / 6
LCM(68514,68526) = 4694990364 / 6
LCM(68514,68526) = 782498394

Least Common Multiple (LCM) of 68514 and 68526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68514 and 68526. First we will calculate the prime factors of 68514 and 68526.

Prime Factorization of 68514

Prime Factorization of 68526

Now multiplying the highest exponent prime factors to calculate the LCM of 68514 and 68526.

LCM(68514,68526) = 2¹ × 3⁶ × 19¹ × 601¹ × 47¹
LCM(68514,68526) = 782498394