What is the Least Common Multiple of 36634 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 36634 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 36634 and 36641, than apply into the LCM equation.

GCF(36634,36641) = 1
LCM(36634,36641) = ( 36634 × 36641) / 1
LCM(36634,36641) = 1342306394 / 1
LCM(36634,36641) = 1342306394

Least Common Multiple (LCM) of 36634 and 36641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36634 and 36641. First we will calculate the prime factors of 36634 and 36641.

Prime Factorization of 36634

Prime Factorization of 36641

Now multiplying the highest exponent prime factors to calculate the LCM of 36634 and 36641.

LCM(36634,36641) = 2¹ × 13¹ × 1409¹ × 11¹ × 3331¹
LCM(36634,36641) = 1342306394