What is the Least Common Multiple of 89452 and 89471?

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 89452 and 89471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89452 and 89471, than apply into the LCM equation.

GCF(89452,89471) = 19
LCM(89452,89471) = ( 89452 × 89471) / 19
LCM(89452,89471) = 8003359892 / 19
LCM(89452,89471) = 421229468

Least Common Multiple (LCM) of 89452 and 89471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89452 and 89471. First we will calculate the prime factors of 89452 and 89471.

Prime Factorization of 89452

Prime Factorization of 89471

Now multiplying the highest exponent prime factors to calculate the LCM of 89452 and 89471.

LCM(89452,89471) = 2² × 11¹ × 19¹ × 107¹ × 17¹ × 277¹
LCM(89452,89471) = 421229468