What is the Least Common Multiple of 81228 and 81234?

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 81234 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 81234, than apply into the LCM equation.

GCF(81228,81234) = 6
LCM(81228,81234) = ( 81228 × 81234) / 6
LCM(81228,81234) = 6598475352 / 6
LCM(81228,81234) = 1099745892

Least Common Multiple (LCM) of 81228 and 81234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81228 and 81234. First we will calculate the prime factors of 81228 and 81234.

Prime Factorization of 81228

Prime Factorization of 81234

Now multiplying the highest exponent prime factors to calculate the LCM of 81228 and 81234.

LCM(81228,81234) = 2² × 3² × 7¹ × 967¹ × 4513¹
LCM(81228,81234) = 1099745892