What is the Least Common Multiple of 36541 and 36547?

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 36541 and 36547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36541 and 36547, than apply into the LCM equation.

GCF(36541,36547) = 1
LCM(36541,36547) = ( 36541 × 36547) / 1
LCM(36541,36547) = 1335463927 / 1
LCM(36541,36547) = 1335463927

Least Common Multiple (LCM) of 36541 and 36547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36541 and 36547. First we will calculate the prime factors of 36541 and 36547.

Prime Factorization of 36541

Prime Factorization of 36547

Now multiplying the highest exponent prime factors to calculate the LCM of 36541 and 36547.

LCM(36541,36547) = 36541¹ × 7¹ × 23¹ × 227¹
LCM(36541,36547) = 1335463927