What is the Least Common Multiple of 36109 and 36128?

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 36109 and 36128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36109 and 36128, than apply into the LCM equation.

GCF(36109,36128) = 1
LCM(36109,36128) = ( 36109 × 36128) / 1
LCM(36109,36128) = 1304545952 / 1
LCM(36109,36128) = 1304545952

Least Common Multiple (LCM) of 36109 and 36128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36109 and 36128. First we will calculate the prime factors of 36109 and 36128.

Prime Factorization of 36109

Prime Factorization of 36128

Now multiplying the highest exponent prime factors to calculate the LCM of 36109 and 36128.

LCM(36109,36128) = 36109¹ × 2⁵ × 1129¹
LCM(36109,36128) = 1304545952