What is the Least Common Multiple of 89824 and 89842?

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 89824 and 89842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89824 and 89842, than apply into the LCM equation.

GCF(89824,89842) = 2
LCM(89824,89842) = ( 89824 × 89842) / 2
LCM(89824,89842) = 8069967808 / 2
LCM(89824,89842) = 4034983904

Least Common Multiple (LCM) of 89824 and 89842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89824 and 89842. First we will calculate the prime factors of 89824 and 89842.

Prime Factorization of 89824

Prime Factorization of 89842

Now multiplying the highest exponent prime factors to calculate the LCM of 89824 and 89842.

LCM(89824,89842) = 2⁵ × 7¹ × 401¹ × 29¹ × 1549¹
LCM(89824,89842) = 4034983904