What is the Least Common Multiple of 52935 and 52944?

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 52935 and 52944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52935 and 52944, than apply into the LCM equation.

GCF(52935,52944) = 3
LCM(52935,52944) = ( 52935 × 52944) / 3
LCM(52935,52944) = 2802590640 / 3
LCM(52935,52944) = 934196880

Least Common Multiple (LCM) of 52935 and 52944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52935 and 52944. First we will calculate the prime factors of 52935 and 52944.

Prime Factorization of 52935

Prime Factorization of 52944

Now multiplying the highest exponent prime factors to calculate the LCM of 52935 and 52944.

LCM(52935,52944) = 3¹ × 5¹ × 3529¹ × 2⁴ × 1103¹
LCM(52935,52944) = 934196880