What is the Least Common Multiple of 36634 and 36642?

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 36642 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 36642, than apply into the LCM equation.

GCF(36634,36642) = 2
LCM(36634,36642) = ( 36634 × 36642) / 2
LCM(36634,36642) = 1342343028 / 2
LCM(36634,36642) = 671171514

Least Common Multiple (LCM) of 36634 and 36642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36634 and 36642. First we will calculate the prime factors of 36634 and 36642.

Prime Factorization of 36634

Prime Factorization of 36642

Now multiplying the highest exponent prime factors to calculate the LCM of 36634 and 36642.

LCM(36634,36642) = 2¹ × 13¹ × 1409¹ × 3¹ × 31¹ × 197¹
LCM(36634,36642) = 671171514