What is the Least Common Multiple of 39525 and 39541?

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 39525 and 39541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39525 and 39541, than apply into the LCM equation.

GCF(39525,39541) = 1
LCM(39525,39541) = ( 39525 × 39541) / 1
LCM(39525,39541) = 1562858025 / 1
LCM(39525,39541) = 1562858025

Least Common Multiple (LCM) of 39525 and 39541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39525 and 39541. First we will calculate the prime factors of 39525 and 39541.

Prime Factorization of 39525

Prime Factorization of 39541

Now multiplying the highest exponent prime factors to calculate the LCM of 39525 and 39541.

LCM(39525,39541) = 3¹ × 5² × 17¹ × 31¹ × 39541¹
LCM(39525,39541) = 1562858025