What is the Least Common Multiple of 52038 and 52054?

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 52038 and 52054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52038 and 52054, than apply into the LCM equation.

GCF(52038,52054) = 2
LCM(52038,52054) = ( 52038 × 52054) / 2
LCM(52038,52054) = 2708786052 / 2
LCM(52038,52054) = 1354393026

Least Common Multiple (LCM) of 52038 and 52054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52038 and 52054. First we will calculate the prime factors of 52038 and 52054.

Prime Factorization of 52038

Prime Factorization of 52054

Now multiplying the highest exponent prime factors to calculate the LCM of 52038 and 52054.

LCM(52038,52054) = 2¹ × 3² × 7² × 59¹ × 17¹ × 1531¹
LCM(52038,52054) = 1354393026