What is the Least Common Multiple of 59439 and 59448?

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 59439 and 59448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59439 and 59448, than apply into the LCM equation.

GCF(59439,59448) = 3
LCM(59439,59448) = ( 59439 × 59448) / 3
LCM(59439,59448) = 3533529672 / 3
LCM(59439,59448) = 1177843224

Least Common Multiple (LCM) of 59439 and 59448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59439 and 59448. First we will calculate the prime factors of 59439 and 59448.

Prime Factorization of 59439

Prime Factorization of 59448

Now multiplying the highest exponent prime factors to calculate the LCM of 59439 and 59448.

LCM(59439,59448) = 3¹ × 19813¹ × 2³ × 2477¹
LCM(59439,59448) = 1177843224