What is the Least Common Multiple of 52935 and 52941?

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 52941 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 52941, than apply into the LCM equation.

GCF(52935,52941) = 3
LCM(52935,52941) = ( 52935 × 52941) / 3
LCM(52935,52941) = 2802431835 / 3
LCM(52935,52941) = 934143945

Least Common Multiple (LCM) of 52935 and 52941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52935 and 52941. First we will calculate the prime factors of 52935 and 52941.

Prime Factorization of 52935

Prime Factorization of 52941

Now multiplying the highest exponent prime factors to calculate the LCM of 52935 and 52941.

LCM(52935,52941) = 3¹ × 5¹ × 3529¹ × 7¹ × 2521¹
LCM(52935,52941) = 934143945