What is the Least Common Multiple of 59432 and 59451?

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 59432 and 59451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59432 and 59451, than apply into the LCM equation.

GCF(59432,59451) = 19
LCM(59432,59451) = ( 59432 × 59451) / 19
LCM(59432,59451) = 3533291832 / 19
LCM(59432,59451) = 185962728

Least Common Multiple (LCM) of 59432 and 59451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59432 and 59451. First we will calculate the prime factors of 59432 and 59451.

Prime Factorization of 59432

Prime Factorization of 59451

Now multiplying the highest exponent prime factors to calculate the LCM of 59432 and 59451.

LCM(59432,59451) = 2³ × 17¹ × 19¹ × 23¹ × 3¹ × 7¹ × 149¹
LCM(59432,59451) = 185962728