What is the Least Common Multiple of 52905 and 52912?

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 52905 and 52912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52905 and 52912, than apply into the LCM equation.

GCF(52905,52912) = 1
LCM(52905,52912) = ( 52905 × 52912) / 1
LCM(52905,52912) = 2799309360 / 1
LCM(52905,52912) = 2799309360

Least Common Multiple (LCM) of 52905 and 52912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52905 and 52912. First we will calculate the prime factors of 52905 and 52912.

Prime Factorization of 52905

Prime Factorization of 52912

Now multiplying the highest exponent prime factors to calculate the LCM of 52905 and 52912.

LCM(52905,52912) = 3¹ × 5¹ × 3527¹ × 2⁴ × 3307¹
LCM(52905,52912) = 2799309360