What is the Least Common Multiple of 51184 and 51194?

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 51184 and 51194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51184 and 51194, than apply into the LCM equation.

GCF(51184,51194) = 2
LCM(51184,51194) = ( 51184 × 51194) / 2
LCM(51184,51194) = 2620313696 / 2
LCM(51184,51194) = 1310156848

Least Common Multiple (LCM) of 51184 and 51194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51184 and 51194. First we will calculate the prime factors of 51184 and 51194.

Prime Factorization of 51184

Prime Factorization of 51194

Now multiplying the highest exponent prime factors to calculate the LCM of 51184 and 51194.

LCM(51184,51194) = 2⁴ × 7¹ × 457¹ × 11¹ × 13¹ × 179¹
LCM(51184,51194) = 1310156848