What is the Least Common Multiple of 52128 and 52138?

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 52128 and 52138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52128 and 52138, than apply into the LCM equation.

GCF(52128,52138) = 2
LCM(52128,52138) = ( 52128 × 52138) / 2
LCM(52128,52138) = 2717849664 / 2
LCM(52128,52138) = 1358924832

Least Common Multiple (LCM) of 52128 and 52138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52128 and 52138. First we will calculate the prime factors of 52128 and 52138.

Prime Factorization of 52128

Prime Factorization of 52138

Now multiplying the highest exponent prime factors to calculate the LCM of 52128 and 52138.

LCM(52128,52138) = 2⁵ × 3² × 181¹ × 131¹ × 199¹
LCM(52128,52138) = 1358924832