What is the Least Common Multiple of 67716 and 67734?

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 67716 and 67734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67716 and 67734, than apply into the LCM equation.

GCF(67716,67734) = 18
LCM(67716,67734) = ( 67716 × 67734) / 18
LCM(67716,67734) = 4586675544 / 18
LCM(67716,67734) = 254815308

Least Common Multiple (LCM) of 67716 and 67734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67716 and 67734. First we will calculate the prime factors of 67716 and 67734.

Prime Factorization of 67716

Prime Factorization of 67734

Now multiplying the highest exponent prime factors to calculate the LCM of 67716 and 67734.

LCM(67716,67734) = 2² × 3⁴ × 11¹ × 19¹ × 53¹ × 71¹
LCM(67716,67734) = 254815308