What is the Least Common Multiple of 73493 and 73502?

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 73493 and 73502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73493 and 73502, than apply into the LCM equation.

GCF(73493,73502) = 1
LCM(73493,73502) = ( 73493 × 73502) / 1
LCM(73493,73502) = 5401882486 / 1
LCM(73493,73502) = 5401882486

Least Common Multiple (LCM) of 73493 and 73502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73493 and 73502. First we will calculate the prime factors of 73493 and 73502.

Prime Factorization of 73493

Prime Factorization of 73502

Now multiplying the highest exponent prime factors to calculate the LCM of 73493 and 73502.

LCM(73493,73502) = 7¹ × 10499¹ × 2¹ × 11¹ × 13¹ × 257¹
LCM(73493,73502) = 5401882486