What is the Least Common Multiple of 52185 and 52192?

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 52185 and 52192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52185 and 52192, than apply into the LCM equation.

GCF(52185,52192) = 7
LCM(52185,52192) = ( 52185 × 52192) / 7
LCM(52185,52192) = 2723639520 / 7
LCM(52185,52192) = 389091360

Least Common Multiple (LCM) of 52185 and 52192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52185 and 52192. First we will calculate the prime factors of 52185 and 52192.

Prime Factorization of 52185

Prime Factorization of 52192

Now multiplying the highest exponent prime factors to calculate the LCM of 52185 and 52192.

LCM(52185,52192) = 3¹ × 5¹ × 7² × 71¹ × 2⁵ × 233¹
LCM(52185,52192) = 389091360