What is the Least Common Multiple of 81234 and 81246?

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 81234 and 81246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81234 and 81246, than apply into the LCM equation.

GCF(81234,81246) = 6
LCM(81234,81246) = ( 81234 × 81246) / 6
LCM(81234,81246) = 6599937564 / 6
LCM(81234,81246) = 1099989594

Least Common Multiple (LCM) of 81234 and 81246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81234 and 81246. First we will calculate the prime factors of 81234 and 81246.

Prime Factorization of 81234

Prime Factorization of 81246

Now multiplying the highest exponent prime factors to calculate the LCM of 81234 and 81246.

LCM(81234,81246) = 2¹ × 3² × 4513¹ × 11¹ × 1231¹
LCM(81234,81246) = 1099989594