What is the Least Common Multiple of 53364 and 53380?

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 53380 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 53380, than apply into the LCM equation.

GCF(53364,53380) = 4
LCM(53364,53380) = ( 53364 × 53380) / 4
LCM(53364,53380) = 2848570320 / 4
LCM(53364,53380) = 712142580

Least Common Multiple (LCM) of 53364 and 53380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53364 and 53380. First we will calculate the prime factors of 53364 and 53380.

Prime Factorization of 53364

Prime Factorization of 53380

Now multiplying the highest exponent prime factors to calculate the LCM of 53364 and 53380.

LCM(53364,53380) = 2² × 3¹ × 4447¹ × 5¹ × 17¹ × 157¹
LCM(53364,53380) = 712142580