What is the Least Common Multiple of 52404 and 52414?

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 52404 and 52414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52404 and 52414, than apply into the LCM equation.

GCF(52404,52414) = 2
LCM(52404,52414) = ( 52404 × 52414) / 2
LCM(52404,52414) = 2746703256 / 2
LCM(52404,52414) = 1373351628

Least Common Multiple (LCM) of 52404 and 52414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52404 and 52414. First we will calculate the prime factors of 52404 and 52414.

Prime Factorization of 52404

Prime Factorization of 52414

Now multiplying the highest exponent prime factors to calculate the LCM of 52404 and 52414.

LCM(52404,52414) = 2² × 3¹ × 11¹ × 397¹ × 73¹ × 359¹
LCM(52404,52414) = 1373351628