What is the Least Common Multiple of 95238 and 95251?

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 95238 and 95251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95238 and 95251, than apply into the LCM equation.

GCF(95238,95251) = 13
LCM(95238,95251) = ( 95238 × 95251) / 13
LCM(95238,95251) = 9071514738 / 13
LCM(95238,95251) = 697808826

Least Common Multiple (LCM) of 95238 and 95251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95238 and 95251. First we will calculate the prime factors of 95238 and 95251.

Prime Factorization of 95238

Prime Factorization of 95251

Now multiplying the highest exponent prime factors to calculate the LCM of 95238 and 95251.

LCM(95238,95251) = 2¹ × 3² × 11¹ × 13¹ × 37¹ × 17¹ × 431¹
LCM(95238,95251) = 697808826