What is the Least Common Multiple of 67290 and 67296?

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 67290 and 67296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67290 and 67296, than apply into the LCM equation.

GCF(67290,67296) = 6
LCM(67290,67296) = ( 67290 × 67296) / 6
LCM(67290,67296) = 4528347840 / 6
LCM(67290,67296) = 754724640

Least Common Multiple (LCM) of 67290 and 67296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67290 and 67296. First we will calculate the prime factors of 67290 and 67296.

Prime Factorization of 67290

Prime Factorization of 67296

Now multiplying the highest exponent prime factors to calculate the LCM of 67290 and 67296.

LCM(67290,67296) = 2⁵ × 3¹ × 5¹ × 2243¹ × 701¹
LCM(67290,67296) = 754724640