What is the Least Common Multiple of 89424 and 89430?

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 89424 and 89430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89424 and 89430, than apply into the LCM equation.

GCF(89424,89430) = 6
LCM(89424,89430) = ( 89424 × 89430) / 6
LCM(89424,89430) = 7997188320 / 6
LCM(89424,89430) = 1332864720

Least Common Multiple (LCM) of 89424 and 89430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89424 and 89430. First we will calculate the prime factors of 89424 and 89430.

Prime Factorization of 89424

Prime Factorization of 89430

Now multiplying the highest exponent prime factors to calculate the LCM of 89424 and 89430.

LCM(89424,89430) = 2⁴ × 3⁵ × 23¹ × 5¹ × 11¹ × 271¹
LCM(89424,89430) = 1332864720