What is the Least Common Multiple of 52914 and 52932?

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 52914 and 52932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52914 and 52932, than apply into the LCM equation.

GCF(52914,52932) = 6
LCM(52914,52932) = ( 52914 × 52932) / 6
LCM(52914,52932) = 2800843848 / 6
LCM(52914,52932) = 466807308

Least Common Multiple (LCM) of 52914 and 52932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52914 and 52932. First we will calculate the prime factors of 52914 and 52932.

Prime Factorization of 52914

Prime Factorization of 52932

Now multiplying the highest exponent prime factors to calculate the LCM of 52914 and 52932.

LCM(52914,52932) = 2² × 3¹ × 8819¹ × 11¹ × 401¹
LCM(52914,52932) = 466807308