What is the Least Common Multiple of 67508 and 67526?

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 67508 and 67526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67508 and 67526, than apply into the LCM equation.

GCF(67508,67526) = 2
LCM(67508,67526) = ( 67508 × 67526) / 2
LCM(67508,67526) = 4558545208 / 2
LCM(67508,67526) = 2279272604

Least Common Multiple (LCM) of 67508 and 67526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67508 and 67526. First we will calculate the prime factors of 67508 and 67526.

Prime Factorization of 67508

Prime Factorization of 67526

Now multiplying the highest exponent prime factors to calculate the LCM of 67508 and 67526.

LCM(67508,67526) = 2² × 7¹ × 2411¹ × 19¹ × 1777¹
LCM(67508,67526) = 2279272604