What is the Least Common Multiple of 52138 and 52156?

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 52156 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 52156, than apply into the LCM equation.

GCF(52138,52156) = 2
LCM(52138,52156) = ( 52138 × 52156) / 2
LCM(52138,52156) = 2719309528 / 2
LCM(52138,52156) = 1359654764

Least Common Multiple (LCM) of 52138 and 52156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52138 and 52156. First we will calculate the prime factors of 52138 and 52156.

Prime Factorization of 52138

Prime Factorization of 52156

Now multiplying the highest exponent prime factors to calculate the LCM of 52138 and 52156.

LCM(52138,52156) = 2² × 131¹ × 199¹ × 13¹ × 17¹ × 59¹
LCM(52138,52156) = 1359654764