What is the Least Common Multiple of 89436 and 89455?

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 89436 and 89455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89436 and 89455, than apply into the LCM equation.

GCF(89436,89455) = 1
LCM(89436,89455) = ( 89436 × 89455) / 1
LCM(89436,89455) = 8000497380 / 1
LCM(89436,89455) = 8000497380

Least Common Multiple (LCM) of 89436 and 89455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89436 and 89455. First we will calculate the prime factors of 89436 and 89455.

Prime Factorization of 89436

Prime Factorization of 89455

Now multiplying the highest exponent prime factors to calculate the LCM of 89436 and 89455.

LCM(89436,89455) = 2² × 3¹ × 29¹ × 257¹ × 5¹ × 17891¹
LCM(89436,89455) = 8000497380