What is the Least Common Multiple of 73122 and 73137?

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 73122 and 73137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73122 and 73137, than apply into the LCM equation.

GCF(73122,73137) = 3
LCM(73122,73137) = ( 73122 × 73137) / 3
LCM(73122,73137) = 5347923714 / 3
LCM(73122,73137) = 1782641238

Least Common Multiple (LCM) of 73122 and 73137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73122 and 73137. First we will calculate the prime factors of 73122 and 73137.

Prime Factorization of 73122

Prime Factorization of 73137

Now multiplying the highest exponent prime factors to calculate the LCM of 73122 and 73137.

LCM(73122,73137) = 2¹ × 3¹ × 7¹ × 1741¹ × 24379¹
LCM(73122,73137) = 1782641238