What is the Least Common Multiple of 73232 and 73242?

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 73232 and 73242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73232 and 73242, than apply into the LCM equation.

GCF(73232,73242) = 2
LCM(73232,73242) = ( 73232 × 73242) / 2
LCM(73232,73242) = 5363658144 / 2
LCM(73232,73242) = 2681829072

Least Common Multiple (LCM) of 73232 and 73242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73232 and 73242. First we will calculate the prime factors of 73232 and 73242.

Prime Factorization of 73232

Prime Factorization of 73242

Now multiplying the highest exponent prime factors to calculate the LCM of 73232 and 73242.

LCM(73232,73242) = 2⁴ × 23¹ × 199¹ × 3² × 13¹ × 313¹
LCM(73232,73242) = 2681829072