What is the Least Common Multiple of 89430 and 89436?

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 89430 and 89436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89430 and 89436, than apply into the LCM equation.

GCF(89430,89436) = 6
LCM(89430,89436) = ( 89430 × 89436) / 6
LCM(89430,89436) = 7998261480 / 6
LCM(89430,89436) = 1333043580

Least Common Multiple (LCM) of 89430 and 89436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89430 and 89436. First we will calculate the prime factors of 89430 and 89436.

Prime Factorization of 89430

Prime Factorization of 89436

Now multiplying the highest exponent prime factors to calculate the LCM of 89430 and 89436.

LCM(89430,89436) = 2² × 3¹ × 5¹ × 11¹ × 271¹ × 29¹ × 257¹
LCM(89430,89436) = 1333043580