What is the Least Common Multiple of 59278 and 59292?

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 59278 and 59292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59278 and 59292, than apply into the LCM equation.

GCF(59278,59292) = 2
LCM(59278,59292) = ( 59278 × 59292) / 2
LCM(59278,59292) = 3514711176 / 2
LCM(59278,59292) = 1757355588

Least Common Multiple (LCM) of 59278 and 59292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59278 and 59292. First we will calculate the prime factors of 59278 and 59292.

Prime Factorization of 59278

Prime Factorization of 59292

Now multiplying the highest exponent prime factors to calculate the LCM of 59278 and 59292.

LCM(59278,59292) = 2² × 107¹ × 277¹ × 3⁵ × 61¹
LCM(59278,59292) = 1757355588