What is the Least Common Multiple of 81228 and 81243?

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 81228 and 81243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81228 and 81243, than apply into the LCM equation.

GCF(81228,81243) = 3
LCM(81228,81243) = ( 81228 × 81243) / 3
LCM(81228,81243) = 6599206404 / 3
LCM(81228,81243) = 2199735468

Least Common Multiple (LCM) of 81228 and 81243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81228 and 81243. First we will calculate the prime factors of 81228 and 81243.

Prime Factorization of 81228

Prime Factorization of 81243

Now multiplying the highest exponent prime factors to calculate the LCM of 81228 and 81243.

LCM(81228,81243) = 2² × 3⁴ × 7¹ × 967¹ × 17¹ × 59¹
LCM(81228,81243) = 2199735468