What is the Least Common Multiple of 81243 and 81252?

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 81243 and 81252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81243 and 81252, than apply into the LCM equation.

GCF(81243,81252) = 9
LCM(81243,81252) = ( 81243 × 81252) / 9
LCM(81243,81252) = 6601156236 / 9
LCM(81243,81252) = 733461804

Least Common Multiple (LCM) of 81243 and 81252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81243 and 81252. First we will calculate the prime factors of 81243 and 81252.

Prime Factorization of 81243

Prime Factorization of 81252

Now multiplying the highest exponent prime factors to calculate the LCM of 81243 and 81252.

LCM(81243,81252) = 3⁴ × 17¹ × 59¹ × 2² × 37¹ × 61¹
LCM(81243,81252) = 733461804