What is the Least Common Multiple of 52123 and 52135?

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 52123 and 52135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52123 and 52135, than apply into the LCM equation.

GCF(52123,52135) = 1
LCM(52123,52135) = ( 52123 × 52135) / 1
LCM(52123,52135) = 2717432605 / 1
LCM(52123,52135) = 2717432605

Least Common Multiple (LCM) of 52123 and 52135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52123 and 52135. First we will calculate the prime factors of 52123 and 52135.

Prime Factorization of 52123

Prime Factorization of 52135

Now multiplying the highest exponent prime factors to calculate the LCM of 52123 and 52135.

LCM(52123,52135) = 47¹ × 1109¹ × 5¹ × 10427¹
LCM(52123,52135) = 2717432605