What is the Least Common Multiple of 39409 and 39427?

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 39409 and 39427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39409 and 39427, than apply into the LCM equation.

GCF(39409,39427) = 1
LCM(39409,39427) = ( 39409 × 39427) / 1
LCM(39409,39427) = 1553778643 / 1
LCM(39409,39427) = 1553778643

Least Common Multiple (LCM) of 39409 and 39427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39409 and 39427. First we will calculate the prime factors of 39409 and 39427.

Prime Factorization of 39409

Prime Factorization of 39427

Now multiplying the highest exponent prime factors to calculate the LCM of 39409 and 39427.

LCM(39409,39427) = 39409¹ × 89¹ × 443¹
LCM(39409,39427) = 1553778643