What is the Least Common Multiple of 52408 and 52421?

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 52408 and 52421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52408 and 52421, than apply into the LCM equation.

GCF(52408,52421) = 1
LCM(52408,52421) = ( 52408 × 52421) / 1
LCM(52408,52421) = 2747279768 / 1
LCM(52408,52421) = 2747279768

Least Common Multiple (LCM) of 52408 and 52421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52408 and 52421. First we will calculate the prime factors of 52408 and 52421.

Prime Factorization of 52408

Prime Factorization of 52421

Now multiplying the highest exponent prime factors to calculate the LCM of 52408 and 52421.

LCM(52408,52421) = 2³ × 6551¹ × 19¹ × 31¹ × 89¹
LCM(52408,52421) = 2747279768