What is the Least Common Multiple of 53286 and 53302?

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 53286 and 53302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53286 and 53302, than apply into the LCM equation.

GCF(53286,53302) = 2
LCM(53286,53302) = ( 53286 × 53302) / 2
LCM(53286,53302) = 2840250372 / 2
LCM(53286,53302) = 1420125186

Least Common Multiple (LCM) of 53286 and 53302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53286 and 53302. First we will calculate the prime factors of 53286 and 53302.

Prime Factorization of 53286

Prime Factorization of 53302

Now multiplying the highest exponent prime factors to calculate the LCM of 53286 and 53302.

LCM(53286,53302) = 2¹ × 3¹ × 83¹ × 107¹ × 29¹ × 919¹
LCM(53286,53302) = 1420125186