What is the Least Common Multiple of 36945 and 36951?

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 36951 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 36951, than apply into the LCM equation.

GCF(36945,36951) = 3
LCM(36945,36951) = ( 36945 × 36951) / 3
LCM(36945,36951) = 1365154695 / 3
LCM(36945,36951) = 455051565

Least Common Multiple (LCM) of 36945 and 36951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36945 and 36951. First we will calculate the prime factors of 36945 and 36951.

Prime Factorization of 36945

Prime Factorization of 36951

Now multiplying the highest exponent prime factors to calculate the LCM of 36945 and 36951.

LCM(36945,36951) = 3² × 5¹ × 821¹ × 109¹ × 113¹
LCM(36945,36951) = 455051565