What is the Least Common Multiple of 36633 and 36641?

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 36633 and 36641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36633 and 36641, than apply into the LCM equation.

GCF(36633,36641) = 1
LCM(36633,36641) = ( 36633 × 36641) / 1
LCM(36633,36641) = 1342269753 / 1
LCM(36633,36641) = 1342269753

Least Common Multiple (LCM) of 36633 and 36641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36633 and 36641. First we will calculate the prime factors of 36633 and 36641.

Prime Factorization of 36633

Prime Factorization of 36641

Now multiplying the highest exponent prime factors to calculate the LCM of 36633 and 36641.

LCM(36633,36641) = 3¹ × 12211¹ × 11¹ × 3331¹
LCM(36633,36641) = 1342269753