What is the Least Common Multiple of 53392 and 53407?

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 53392 and 53407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53392 and 53407, than apply into the LCM equation.

GCF(53392,53407) = 1
LCM(53392,53407) = ( 53392 × 53407) / 1
LCM(53392,53407) = 2851506544 / 1
LCM(53392,53407) = 2851506544

Least Common Multiple (LCM) of 53392 and 53407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53392 and 53407. First we will calculate the prime factors of 53392 and 53407.

Prime Factorization of 53392

Prime Factorization of 53407

Now multiplying the highest exponent prime factors to calculate the LCM of 53392 and 53407.

LCM(53392,53407) = 2⁴ × 47¹ × 71¹ × 53407¹
LCM(53392,53407) = 2851506544