What is the Least Common Multiple of 52174 and 52193?

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 52174 and 52193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52174 and 52193, than apply into the LCM equation.

GCF(52174,52193) = 19
LCM(52174,52193) = ( 52174 × 52193) / 19
LCM(52174,52193) = 2723117582 / 19
LCM(52174,52193) = 143321978

Least Common Multiple (LCM) of 52174 and 52193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52174 and 52193. First we will calculate the prime factors of 52174 and 52193.

Prime Factorization of 52174

Prime Factorization of 52193

Now multiplying the highest exponent prime factors to calculate the LCM of 52174 and 52193.

LCM(52174,52193) = 2¹ × 19¹ × 1373¹ × 41¹ × 67¹
LCM(52174,52193) = 143321978