What is the Least Common Multiple of 73023 and 73043?

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 73023 and 73043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73023 and 73043, than apply into the LCM equation.

GCF(73023,73043) = 1
LCM(73023,73043) = ( 73023 × 73043) / 1
LCM(73023,73043) = 5333818989 / 1
LCM(73023,73043) = 5333818989

Least Common Multiple (LCM) of 73023 and 73043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73023 and 73043. First we will calculate the prime factors of 73023 and 73043.

Prime Factorization of 73023

Prime Factorization of 73043

Now multiplying the highest exponent prime factors to calculate the LCM of 73023 and 73043.

LCM(73023,73043) = 3¹ × 101¹ × 241¹ × 73043¹
LCM(73023,73043) = 5333818989