What is the Least Common Multiple of 36846 and 36864?

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 36846 and 36864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36846 and 36864, than apply into the LCM equation.

GCF(36846,36864) = 18
LCM(36846,36864) = ( 36846 × 36864) / 18
LCM(36846,36864) = 1358290944 / 18
LCM(36846,36864) = 75460608

Least Common Multiple (LCM) of 36846 and 36864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36846 and 36864. First we will calculate the prime factors of 36846 and 36864.

Prime Factorization of 36846

Prime Factorization of 36864

Now multiplying the highest exponent prime factors to calculate the LCM of 36846 and 36864.

LCM(36846,36864) = 2¹² × 3² × 23¹ × 89¹
LCM(36846,36864) = 75460608