What is the Least Common Multiple of 53500 and 53514?

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 53500 and 53514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53500 and 53514, than apply into the LCM equation.

GCF(53500,53514) = 2
LCM(53500,53514) = ( 53500 × 53514) / 2
LCM(53500,53514) = 2862999000 / 2
LCM(53500,53514) = 1431499500

Least Common Multiple (LCM) of 53500 and 53514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53500 and 53514. First we will calculate the prime factors of 53500 and 53514.

Prime Factorization of 53500

Prime Factorization of 53514

Now multiplying the highest exponent prime factors to calculate the LCM of 53500 and 53514.

LCM(53500,53514) = 2² × 5³ × 107¹ × 3³ × 991¹
LCM(53500,53514) = 1431499500