What is the Least Common Multiple of 5646 and 5661?

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 5646 and 5661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5646 and 5661, than apply into the LCM equation.

GCF(5646,5661) = 3
LCM(5646,5661) = ( 5646 × 5661) / 3
LCM(5646,5661) = 31962006 / 3
LCM(5646,5661) = 10654002

Least Common Multiple (LCM) of 5646 and 5661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5646 and 5661. First we will calculate the prime factors of 5646 and 5661.

Prime Factorization of 5646

Prime Factorization of 5661

Now multiplying the highest exponent prime factors to calculate the LCM of 5646 and 5661.

LCM(5646,5661) = 2¹ × 3² × 941¹ × 17¹ × 37¹
LCM(5646,5661) = 10654002