What is the Least Common Multiple of 36945 and 36954?

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 36954 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 36954, than apply into the LCM equation.

GCF(36945,36954) = 9
LCM(36945,36954) = ( 36945 × 36954) / 9
LCM(36945,36954) = 1365265530 / 9
LCM(36945,36954) = 151696170

Least Common Multiple (LCM) of 36945 and 36954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36945 and 36954. First we will calculate the prime factors of 36945 and 36954.

Prime Factorization of 36945

Prime Factorization of 36954

Now multiplying the highest exponent prime factors to calculate the LCM of 36945 and 36954.

LCM(36945,36954) = 3² × 5¹ × 821¹ × 2¹ × 2053¹
LCM(36945,36954) = 151696170