What is the Least Common Multiple of 89392 and 89409?

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 89392 and 89409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89392 and 89409, than apply into the LCM equation.

GCF(89392,89409) = 1
LCM(89392,89409) = ( 89392 × 89409) / 1
LCM(89392,89409) = 7992449328 / 1
LCM(89392,89409) = 7992449328

Least Common Multiple (LCM) of 89392 and 89409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89392 and 89409. First we will calculate the prime factors of 89392 and 89409.

Prime Factorization of 89392

Prime Factorization of 89409

Now multiplying the highest exponent prime factors to calculate the LCM of 89392 and 89409.

LCM(89392,89409) = 2⁴ × 37¹ × 151¹ × 3¹ × 29803¹
LCM(89392,89409) = 7992449328