What is the Least Common Multiple of 53014 and 53032?

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 53014 and 53032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53014 and 53032, than apply into the LCM equation.

GCF(53014,53032) = 2
LCM(53014,53032) = ( 53014 × 53032) / 2
LCM(53014,53032) = 2811438448 / 2
LCM(53014,53032) = 1405719224

Least Common Multiple (LCM) of 53014 and 53032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53014 and 53032. First we will calculate the prime factors of 53014 and 53032.

Prime Factorization of 53014

Prime Factorization of 53032

Now multiplying the highest exponent prime factors to calculate the LCM of 53014 and 53032.

LCM(53014,53032) = 2³ × 13¹ × 2039¹ × 7¹ × 947¹
LCM(53014,53032) = 1405719224