What is the Least Common Multiple of 81049 and 81068?

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 81049 and 81068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81049 and 81068, than apply into the LCM equation.

GCF(81049,81068) = 1
LCM(81049,81068) = ( 81049 × 81068) / 1
LCM(81049,81068) = 6570480332 / 1
LCM(81049,81068) = 6570480332

Least Common Multiple (LCM) of 81049 and 81068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81049 and 81068. First we will calculate the prime factors of 81049 and 81068.

Prime Factorization of 81049

Prime Factorization of 81068

Now multiplying the highest exponent prime factors to calculate the LCM of 81049 and 81068.

LCM(81049,81068) = 81049¹ × 2² × 13¹ × 1559¹
LCM(81049,81068) = 6570480332