What is the Least Common Multiple of 36761 and 36775?

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 36761 and 36775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36761 and 36775, than apply into the LCM equation.

GCF(36761,36775) = 1
LCM(36761,36775) = ( 36761 × 36775) / 1
LCM(36761,36775) = 1351885775 / 1
LCM(36761,36775) = 1351885775

Least Common Multiple (LCM) of 36761 and 36775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36761 and 36775. First we will calculate the prime factors of 36761 and 36775.

Prime Factorization of 36761

Prime Factorization of 36775

Now multiplying the highest exponent prime factors to calculate the LCM of 36761 and 36775.

LCM(36761,36775) = 36761¹ × 5² × 1471¹
LCM(36761,36775) = 1351885775