What is the Least Common Multiple of 55475 and 55489?

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 55475 and 55489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55475 and 55489, than apply into the LCM equation.

GCF(55475,55489) = 7
LCM(55475,55489) = ( 55475 × 55489) / 7
LCM(55475,55489) = 3078252275 / 7
LCM(55475,55489) = 439750325

Least Common Multiple (LCM) of 55475 and 55489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55475 and 55489. First we will calculate the prime factors of 55475 and 55489.

Prime Factorization of 55475

Prime Factorization of 55489

Now multiplying the highest exponent prime factors to calculate the LCM of 55475 and 55489.

LCM(55475,55489) = 5² × 7¹ × 317¹ × 7927¹
LCM(55475,55489) = 439750325