What is the Least Common Multiple of 52920 and 52933?

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 52920 and 52933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52920 and 52933, than apply into the LCM equation.

GCF(52920,52933) = 1
LCM(52920,52933) = ( 52920 × 52933) / 1
LCM(52920,52933) = 2801214360 / 1
LCM(52920,52933) = 2801214360

Least Common Multiple (LCM) of 52920 and 52933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52920 and 52933. First we will calculate the prime factors of 52920 and 52933.

Prime Factorization of 52920

Prime Factorization of 52933

Now multiplying the highest exponent prime factors to calculate the LCM of 52920 and 52933.

LCM(52920,52933) = 2³ × 3³ × 5¹ × 7² × 43¹ × 1231¹
LCM(52920,52933) = 2801214360