What is the Least Common Multiple of 52138 and 52144?

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 52138 and 52144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52138 and 52144, than apply into the LCM equation.

GCF(52138,52144) = 2
LCM(52138,52144) = ( 52138 × 52144) / 2
LCM(52138,52144) = 2718683872 / 2
LCM(52138,52144) = 1359341936

Least Common Multiple (LCM) of 52138 and 52144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52138 and 52144. First we will calculate the prime factors of 52138 and 52144.

Prime Factorization of 52138

Prime Factorization of 52144

Now multiplying the highest exponent prime factors to calculate the LCM of 52138 and 52144.

LCM(52138,52144) = 2⁴ × 131¹ × 199¹ × 3259¹
LCM(52138,52144) = 1359341936