What is the Least Common Multiple of 53600 and 53614?

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 53600 and 53614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53600 and 53614, than apply into the LCM equation.

GCF(53600,53614) = 2
LCM(53600,53614) = ( 53600 × 53614) / 2
LCM(53600,53614) = 2873710400 / 2
LCM(53600,53614) = 1436855200

Least Common Multiple (LCM) of 53600 and 53614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53600 and 53614. First we will calculate the prime factors of 53600 and 53614.

Prime Factorization of 53600

Prime Factorization of 53614

Now multiplying the highest exponent prime factors to calculate the LCM of 53600 and 53614.

LCM(53600,53614) = 2⁵ × 5² × 67¹ × 11¹ × 2437¹
LCM(53600,53614) = 1436855200