What is the Least Common Multiple of 53310 and 53314?

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 53310 and 53314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53310 and 53314, than apply into the LCM equation.

GCF(53310,53314) = 2
LCM(53310,53314) = ( 53310 × 53314) / 2
LCM(53310,53314) = 2842169340 / 2
LCM(53310,53314) = 1421084670

Least Common Multiple (LCM) of 53310 and 53314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53310 and 53314. First we will calculate the prime factors of 53310 and 53314.

Prime Factorization of 53310

Prime Factorization of 53314

Now multiplying the highest exponent prime factors to calculate the LCM of 53310 and 53314.

LCM(53310,53314) = 2¹ × 3¹ × 5¹ × 1777¹ × 19¹ × 23¹ × 61¹
LCM(53310,53314) = 1421084670