What is the Least Common Multiple of 36945 and 36961?

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 36945 and 36961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36945 and 36961, than apply into the LCM equation.

GCF(36945,36961) = 1
LCM(36945,36961) = ( 36945 × 36961) / 1
LCM(36945,36961) = 1365524145 / 1
LCM(36945,36961) = 1365524145

Least Common Multiple (LCM) of 36945 and 36961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36945 and 36961. First we will calculate the prime factors of 36945 and 36961.

Prime Factorization of 36945

Prime Factorization of 36961

Now multiplying the highest exponent prime factors to calculate the LCM of 36945 and 36961.

LCM(36945,36961) = 3² × 5¹ × 821¹ × 23¹ × 1607¹
LCM(36945,36961) = 1365524145