What is the Least Common Multiple of 52192 and 52211?

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 52192 and 52211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52192 and 52211, than apply into the LCM equation.

GCF(52192,52211) = 1
LCM(52192,52211) = ( 52192 × 52211) / 1
LCM(52192,52211) = 2724996512 / 1
LCM(52192,52211) = 2724996512

Least Common Multiple (LCM) of 52192 and 52211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52192 and 52211. First we will calculate the prime factors of 52192 and 52211.

Prime Factorization of 52192

Prime Factorization of 52211

Now multiplying the highest exponent prime factors to calculate the LCM of 52192 and 52211.

LCM(52192,52211) = 2⁵ × 7¹ × 233¹ × 109¹ × 479¹
LCM(52192,52211) = 2724996512