What is the Least Common Multiple of 73109 and 73122?

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 73109 and 73122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73109 and 73122, than apply into the LCM equation.

GCF(73109,73122) = 1
LCM(73109,73122) = ( 73109 × 73122) / 1
LCM(73109,73122) = 5345876298 / 1
LCM(73109,73122) = 5345876298

Least Common Multiple (LCM) of 73109 and 73122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73109 and 73122. First we will calculate the prime factors of 73109 and 73122.

Prime Factorization of 73109

Prime Factorization of 73122

Now multiplying the highest exponent prime factors to calculate the LCM of 73109 and 73122.

LCM(73109,73122) = 29¹ × 2521¹ × 2¹ × 3¹ × 7¹ × 1741¹
LCM(73109,73122) = 5345876298