What is the Least Common Multiple of 52148 and 52153?

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 52148 and 52153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52148 and 52153, than apply into the LCM equation.

GCF(52148,52153) = 1
LCM(52148,52153) = ( 52148 × 52153) / 1
LCM(52148,52153) = 2719674644 / 1
LCM(52148,52153) = 2719674644

Least Common Multiple (LCM) of 52148 and 52153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52148 and 52153. First we will calculate the prime factors of 52148 and 52153.

Prime Factorization of 52148

Prime Factorization of 52153

Now multiplying the highest exponent prime factors to calculate the LCM of 52148 and 52153.

LCM(52148,52153) = 2² × 13037¹ × 52153¹
LCM(52148,52153) = 2719674644