What is the Least Common Multiple of 81574 and 81579?

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 81574 and 81579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81574 and 81579, than apply into the LCM equation.

GCF(81574,81579) = 1
LCM(81574,81579) = ( 81574 × 81579) / 1
LCM(81574,81579) = 6654725346 / 1
LCM(81574,81579) = 6654725346

Least Common Multiple (LCM) of 81574 and 81579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81574 and 81579. First we will calculate the prime factors of 81574 and 81579.

Prime Factorization of 81574

Prime Factorization of 81579

Now multiplying the highest exponent prime factors to calculate the LCM of 81574 and 81579.

LCM(81574,81579) = 2¹ × 40787¹ × 3¹ × 71¹ × 383¹
LCM(81574,81579) = 6654725346