What is the Least Common Multiple of 73040 and 73058?

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 73040 and 73058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73040 and 73058, than apply into the LCM equation.

GCF(73040,73058) = 2
LCM(73040,73058) = ( 73040 × 73058) / 2
LCM(73040,73058) = 5336156320 / 2
LCM(73040,73058) = 2668078160

Least Common Multiple (LCM) of 73040 and 73058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73040 and 73058. First we will calculate the prime factors of 73040 and 73058.

Prime Factorization of 73040

Prime Factorization of 73058

Now multiplying the highest exponent prime factors to calculate the LCM of 73040 and 73058.

LCM(73040,73058) = 2⁴ × 5¹ × 11¹ × 83¹ × 36529¹
LCM(73040,73058) = 2668078160