What is the Least Common Multiple of 81034 and 81052?

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 81034 and 81052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81034 and 81052, than apply into the LCM equation.

GCF(81034,81052) = 2
LCM(81034,81052) = ( 81034 × 81052) / 2
LCM(81034,81052) = 6567967768 / 2
LCM(81034,81052) = 3283983884

Least Common Multiple (LCM) of 81034 and 81052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81034 and 81052. First we will calculate the prime factors of 81034 and 81052.

Prime Factorization of 81034

Prime Factorization of 81052

Now multiplying the highest exponent prime factors to calculate the LCM of 81034 and 81052.

LCM(81034,81052) = 2² × 31¹ × 1307¹ × 23¹ × 881¹
LCM(81034,81052) = 3283983884