What is the Least Common Multiple of 3654 and 3669?

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 3654 and 3669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3654 and 3669, than apply into the LCM equation.

GCF(3654,3669) = 3
LCM(3654,3669) = ( 3654 × 3669) / 3
LCM(3654,3669) = 13406526 / 3
LCM(3654,3669) = 4468842

Least Common Multiple (LCM) of 3654 and 3669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3654 and 3669. First we will calculate the prime factors of 3654 and 3669.

Prime Factorization of 3654

Prime Factorization of 3669

Now multiplying the highest exponent prime factors to calculate the LCM of 3654 and 3669.

LCM(3654,3669) = 2¹ × 3² × 7¹ × 29¹ × 1223¹
LCM(3654,3669) = 4468842