What is the Least Common Multiple of 59254 and 59258?

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 59254 and 59258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59254 and 59258, than apply into the LCM equation.

GCF(59254,59258) = 2
LCM(59254,59258) = ( 59254 × 59258) / 2
LCM(59254,59258) = 3511273532 / 2
LCM(59254,59258) = 1755636766

Least Common Multiple (LCM) of 59254 and 59258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59254 and 59258. First we will calculate the prime factors of 59254 and 59258.

Prime Factorization of 59254

Prime Factorization of 59258

Now multiplying the highest exponent prime factors to calculate the LCM of 59254 and 59258.

LCM(59254,59258) = 2¹ × 13¹ × 43¹ × 53¹ × 29629¹
LCM(59254,59258) = 1755636766