What is the Least Common Multiple of 53118 and 53123?

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 53118 and 53123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53118 and 53123, than apply into the LCM equation.

GCF(53118,53123) = 1
LCM(53118,53123) = ( 53118 × 53123) / 1
LCM(53118,53123) = 2821787514 / 1
LCM(53118,53123) = 2821787514

Least Common Multiple (LCM) of 53118 and 53123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53118 and 53123. First we will calculate the prime factors of 53118 and 53123.

Prime Factorization of 53118

Prime Factorization of 53123

Now multiplying the highest exponent prime factors to calculate the LCM of 53118 and 53123.

LCM(53118,53123) = 2¹ × 3² × 13¹ × 227¹ × 7¹ × 7589¹
LCM(53118,53123) = 2821787514