What is the Least Common Multiple of 50253 and 50258?

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 50253 and 50258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50253 and 50258, than apply into the LCM equation.

GCF(50253,50258) = 1
LCM(50253,50258) = ( 50253 × 50258) / 1
LCM(50253,50258) = 2525615274 / 1
LCM(50253,50258) = 2525615274

Least Common Multiple (LCM) of 50253 and 50258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50253 and 50258. First we will calculate the prime factors of 50253 and 50258.

Prime Factorization of 50253

Prime Factorization of 50258

Now multiplying the highest exponent prime factors to calculate the LCM of 50253 and 50258.

LCM(50253,50258) = 3¹ × 7¹ × 2393¹ × 2¹ × 13¹ × 1933¹
LCM(50253,50258) = 2525615274