What is the Least Common Multiple of 67350 and 67356?

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 67350 and 67356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67350 and 67356, than apply into the LCM equation.

GCF(67350,67356) = 6
LCM(67350,67356) = ( 67350 × 67356) / 6
LCM(67350,67356) = 4536426600 / 6
LCM(67350,67356) = 756071100

Least Common Multiple (LCM) of 67350 and 67356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67350 and 67356. First we will calculate the prime factors of 67350 and 67356.

Prime Factorization of 67350

Prime Factorization of 67356

Now multiplying the highest exponent prime factors to calculate the LCM of 67350 and 67356.

LCM(67350,67356) = 2² × 3² × 5² × 449¹ × 1871¹
LCM(67350,67356) = 756071100