What is the Least Common Multiple of 53370 and 53384?

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 53370 and 53384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53370 and 53384, than apply into the LCM equation.

GCF(53370,53384) = 2
LCM(53370,53384) = ( 53370 × 53384) / 2
LCM(53370,53384) = 2849104080 / 2
LCM(53370,53384) = 1424552040

Least Common Multiple (LCM) of 53370 and 53384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53370 and 53384. First we will calculate the prime factors of 53370 and 53384.

Prime Factorization of 53370

Prime Factorization of 53384

Now multiplying the highest exponent prime factors to calculate the LCM of 53370 and 53384.

LCM(53370,53384) = 2³ × 3² × 5¹ × 593¹ × 6673¹
LCM(53370,53384) = 1424552040