What is the Least Common Multiple of 68523 and 68538?

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 68523 and 68538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68523 and 68538, than apply into the LCM equation.

GCF(68523,68538) = 3
LCM(68523,68538) = ( 68523 × 68538) / 3
LCM(68523,68538) = 4696429374 / 3
LCM(68523,68538) = 1565476458

Least Common Multiple (LCM) of 68523 and 68538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68523 and 68538. First we will calculate the prime factors of 68523 and 68538.

Prime Factorization of 68523

Prime Factorization of 68538

Now multiplying the highest exponent prime factors to calculate the LCM of 68523 and 68538.

LCM(68523,68538) = 3¹ × 7¹ × 13¹ × 251¹ × 2¹ × 11423¹
LCM(68523,68538) = 1565476458