What is the Least Common Multiple of 52258 and 52278?

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 52258 and 52278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52258 and 52278, than apply into the LCM equation.

GCF(52258,52278) = 2
LCM(52258,52278) = ( 52258 × 52278) / 2
LCM(52258,52278) = 2731943724 / 2
LCM(52258,52278) = 1365971862

Least Common Multiple (LCM) of 52258 and 52278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52258 and 52278. First we will calculate the prime factors of 52258 and 52278.

Prime Factorization of 52258

Prime Factorization of 52278

Now multiplying the highest exponent prime factors to calculate the LCM of 52258 and 52278.

LCM(52258,52278) = 2¹ × 17¹ × 29¹ × 53¹ × 3¹ × 8713¹
LCM(52258,52278) = 1365971862