What is the Least Common Multiple of 52421 and 52440?

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 52421 and 52440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52421 and 52440, than apply into the LCM equation.

GCF(52421,52440) = 19
LCM(52421,52440) = ( 52421 × 52440) / 19
LCM(52421,52440) = 2748957240 / 19
LCM(52421,52440) = 144681960

Least Common Multiple (LCM) of 52421 and 52440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52421 and 52440. First we will calculate the prime factors of 52421 and 52440.

Prime Factorization of 52421

Prime Factorization of 52440

Now multiplying the highest exponent prime factors to calculate the LCM of 52421 and 52440.

LCM(52421,52440) = 19¹ × 31¹ × 89¹ × 2³ × 3¹ × 5¹ × 23¹
LCM(52421,52440) = 144681960