What is the Least Common Multiple of 81228 and 81242?

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 81242 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 81242, than apply into the LCM equation.

GCF(81228,81242) = 14
LCM(81228,81242) = ( 81228 × 81242) / 14
LCM(81228,81242) = 6599125176 / 14
LCM(81228,81242) = 471366084

Least Common Multiple (LCM) of 81228 and 81242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81228 and 81242. First we will calculate the prime factors of 81228 and 81242.

Prime Factorization of 81228

Prime Factorization of 81242

Now multiplying the highest exponent prime factors to calculate the LCM of 81228 and 81242.

LCM(81228,81242) = 2² × 3¹ × 7² × 967¹ × 829¹
LCM(81228,81242) = 471366084