What is the Least Common Multiple of 52192 and 52198?

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 52198 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 52198, than apply into the LCM equation.

GCF(52192,52198) = 2
LCM(52192,52198) = ( 52192 × 52198) / 2
LCM(52192,52198) = 2724318016 / 2
LCM(52192,52198) = 1362159008

Least Common Multiple (LCM) of 52192 and 52198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52192 and 52198. First we will calculate the prime factors of 52192 and 52198.

Prime Factorization of 52192

Prime Factorization of 52198

Now multiplying the highest exponent prime factors to calculate the LCM of 52192 and 52198.

LCM(52192,52198) = 2⁵ × 7¹ × 233¹ × 26099¹
LCM(52192,52198) = 1362159008