What is the Least Common Multiple of 89409 and 89416?

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 89409 and 89416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89409 and 89416, than apply into the LCM equation.

GCF(89409,89416) = 1
LCM(89409,89416) = ( 89409 × 89416) / 1
LCM(89409,89416) = 7994595144 / 1
LCM(89409,89416) = 7994595144

Least Common Multiple (LCM) of 89409 and 89416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89409 and 89416. First we will calculate the prime factors of 89409 and 89416.

Prime Factorization of 89409

Prime Factorization of 89416

Now multiplying the highest exponent prime factors to calculate the LCM of 89409 and 89416.

LCM(89409,89416) = 3¹ × 29803¹ × 2³ × 11177¹
LCM(89409,89416) = 7994595144