What is the Least Common Multiple of 36618 and 36633?

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 36618 and 36633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36618 and 36633, than apply into the LCM equation.

GCF(36618,36633) = 3
LCM(36618,36633) = ( 36618 × 36633) / 3
LCM(36618,36633) = 1341427194 / 3
LCM(36618,36633) = 447142398

Least Common Multiple (LCM) of 36618 and 36633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36618 and 36633. First we will calculate the prime factors of 36618 and 36633.

Prime Factorization of 36618

Prime Factorization of 36633

Now multiplying the highest exponent prime factors to calculate the LCM of 36618 and 36633.

LCM(36618,36633) = 2¹ × 3¹ × 17¹ × 359¹ × 12211¹
LCM(36618,36633) = 447142398