What is the Least Common Multiple of 36654 and 36673?

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 36654 and 36673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36654 and 36673, than apply into the LCM equation.

GCF(36654,36673) = 1
LCM(36654,36673) = ( 36654 × 36673) / 1
LCM(36654,36673) = 1344212142 / 1
LCM(36654,36673) = 1344212142

Least Common Multiple (LCM) of 36654 and 36673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36654 and 36673. First we will calculate the prime factors of 36654 and 36673.

Prime Factorization of 36654

Prime Factorization of 36673

Now multiplying the highest exponent prime factors to calculate the LCM of 36654 and 36673.

LCM(36654,36673) = 2¹ × 3¹ × 41¹ × 149¹ × 7¹ × 13² × 31¹
LCM(36654,36673) = 1344212142