What is the Least Common Multiple of 89632 and 89642?

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 89632 and 89642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89632 and 89642, than apply into the LCM equation.

GCF(89632,89642) = 2
LCM(89632,89642) = ( 89632 × 89642) / 2
LCM(89632,89642) = 8034791744 / 2
LCM(89632,89642) = 4017395872

Least Common Multiple (LCM) of 89632 and 89642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89632 and 89642. First we will calculate the prime factors of 89632 and 89642.

Prime Factorization of 89632

Prime Factorization of 89642

Now multiplying the highest exponent prime factors to calculate the LCM of 89632 and 89642.

LCM(89632,89642) = 2⁵ × 2801¹ × 7¹ × 19¹ × 337¹
LCM(89632,89642) = 4017395872