What is the Least Common Multiple of 89416 and 89434?

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 89416 and 89434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89416 and 89434, than apply into the LCM equation.

GCF(89416,89434) = 2
LCM(89416,89434) = ( 89416 × 89434) / 2
LCM(89416,89434) = 7996830544 / 2
LCM(89416,89434) = 3998415272

Least Common Multiple (LCM) of 89416 and 89434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89416 and 89434. First we will calculate the prime factors of 89416 and 89434.

Prime Factorization of 89416

Prime Factorization of 89434

Now multiplying the highest exponent prime factors to calculate the LCM of 89416 and 89434.

LCM(89416,89434) = 2³ × 11177¹ × 97¹ × 461¹
LCM(89416,89434) = 3998415272