What is the Least Common Multiple of 39574 and 39581?

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 39574 and 39581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39574 and 39581, than apply into the LCM equation.

GCF(39574,39581) = 1
LCM(39574,39581) = ( 39574 × 39581) / 1
LCM(39574,39581) = 1566378494 / 1
LCM(39574,39581) = 1566378494

Least Common Multiple (LCM) of 39574 and 39581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39574 and 39581. First we will calculate the prime factors of 39574 and 39581.

Prime Factorization of 39574

Prime Factorization of 39581

Now multiplying the highest exponent prime factors to calculate the LCM of 39574 and 39581.

LCM(39574,39581) = 2¹ × 47¹ × 421¹ × 39581¹
LCM(39574,39581) = 1566378494