What is the Least Common Multiple of 95251 and 95258?

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 95251 and 95258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95251 and 95258, than apply into the LCM equation.

GCF(95251,95258) = 1
LCM(95251,95258) = ( 95251 × 95258) / 1
LCM(95251,95258) = 9073419758 / 1
LCM(95251,95258) = 9073419758

Least Common Multiple (LCM) of 95251 and 95258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95251 and 95258. First we will calculate the prime factors of 95251 and 95258.

Prime Factorization of 95251

Prime Factorization of 95258

Now multiplying the highest exponent prime factors to calculate the LCM of 95251 and 95258.

LCM(95251,95258) = 13¹ × 17¹ × 431¹ × 2¹ × 47629¹
LCM(95251,95258) = 9073419758