What is the Least Common Multiple of 67284 and 67290?

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 67284 and 67290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67284 and 67290, than apply into the LCM equation.

GCF(67284,67290) = 6
LCM(67284,67290) = ( 67284 × 67290) / 6
LCM(67284,67290) = 4527540360 / 6
LCM(67284,67290) = 754590060

Least Common Multiple (LCM) of 67284 and 67290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67284 and 67290. First we will calculate the prime factors of 67284 and 67290.

Prime Factorization of 67284

Prime Factorization of 67290

Now multiplying the highest exponent prime factors to calculate the LCM of 67284 and 67290.

LCM(67284,67290) = 2² × 3³ × 7¹ × 89¹ × 5¹ × 2243¹
LCM(67284,67290) = 754590060