What is the Least Common Multiple of 52921 and 52938?

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 52921 and 52938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52921 and 52938, than apply into the LCM equation.

GCF(52921,52938) = 17
LCM(52921,52938) = ( 52921 × 52938) / 17
LCM(52921,52938) = 2801531898 / 17
LCM(52921,52938) = 164795994

Least Common Multiple (LCM) of 52921 and 52938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52921 and 52938. First we will calculate the prime factors of 52921 and 52938.

Prime Factorization of 52921

Prime Factorization of 52938

Now multiplying the highest exponent prime factors to calculate the LCM of 52921 and 52938.

LCM(52921,52938) = 11¹ × 17¹ × 283¹ × 2¹ × 3² × 173¹
LCM(52921,52938) = 164795994