What is the Least Common Multiple of 73110 and 73123?

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 73110 and 73123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73110 and 73123, than apply into the LCM equation.

GCF(73110,73123) = 1
LCM(73110,73123) = ( 73110 × 73123) / 1
LCM(73110,73123) = 5346022530 / 1
LCM(73110,73123) = 5346022530

Least Common Multiple (LCM) of 73110 and 73123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73110 and 73123. First we will calculate the prime factors of 73110 and 73123.

Prime Factorization of 73110

Prime Factorization of 73123

Now multiplying the highest exponent prime factors to calculate the LCM of 73110 and 73123.

LCM(73110,73123) = 2¹ × 3¹ × 5¹ × 2437¹ × 83¹ × 881¹
LCM(73110,73123) = 5346022530