What is the Least Common Multiple of 73138 and 73145?

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 73138 and 73145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73138 and 73145, than apply into the LCM equation.

GCF(73138,73145) = 1
LCM(73138,73145) = ( 73138 × 73145) / 1
LCM(73138,73145) = 5349679010 / 1
LCM(73138,73145) = 5349679010

Least Common Multiple (LCM) of 73138 and 73145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73138 and 73145. First we will calculate the prime factors of 73138 and 73145.

Prime Factorization of 73138

Prime Factorization of 73145

Now multiplying the highest exponent prime factors to calculate the LCM of 73138 and 73145.

LCM(73138,73145) = 2¹ × 13¹ × 29¹ × 97¹ × 5¹ × 14629¹
LCM(73138,73145) = 5349679010