What is the Least Common Multiple of 53364 and 53377?

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 53364 and 53377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53364 and 53377, than apply into the LCM equation.

GCF(53364,53377) = 1
LCM(53364,53377) = ( 53364 × 53377) / 1
LCM(53364,53377) = 2848410228 / 1
LCM(53364,53377) = 2848410228

Least Common Multiple (LCM) of 53364 and 53377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53364 and 53377. First we will calculate the prime factors of 53364 and 53377.

Prime Factorization of 53364

Prime Factorization of 53377

Now multiplying the highest exponent prime factors to calculate the LCM of 53364 and 53377.

LCM(53364,53377) = 2² × 3¹ × 4447¹ × 53377¹
LCM(53364,53377) = 2848410228