What is the Least Common Multiple of 39566 and 39577?

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 39566 and 39577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39566 and 39577, than apply into the LCM equation.

GCF(39566,39577) = 1
LCM(39566,39577) = ( 39566 × 39577) / 1
LCM(39566,39577) = 1565903582 / 1
LCM(39566,39577) = 1565903582

Least Common Multiple (LCM) of 39566 and 39577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39566 and 39577. First we will calculate the prime factors of 39566 and 39577.

Prime Factorization of 39566

Prime Factorization of 39577

Now multiplying the highest exponent prime factors to calculate the LCM of 39566 and 39577.

LCM(39566,39577) = 2¹ × 73¹ × 271¹ × 19¹ × 2083¹
LCM(39566,39577) = 1565903582