What is the Least Common Multiple of 53123 and 53131?

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 53123 and 53131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53123 and 53131, than apply into the LCM equation.

GCF(53123,53131) = 1
LCM(53123,53131) = ( 53123 × 53131) / 1
LCM(53123,53131) = 2822478113 / 1
LCM(53123,53131) = 2822478113

Least Common Multiple (LCM) of 53123 and 53131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53123 and 53131. First we will calculate the prime factors of 53123 and 53131.

Prime Factorization of 53123

Prime Factorization of 53131

Now multiplying the highest exponent prime factors to calculate the LCM of 53123 and 53131.

LCM(53123,53131) = 7¹ × 7589¹ × 13¹ × 61¹ × 67¹
LCM(53123,53131) = 2822478113