What is the Least Common Multiple of 43648 and 43661?

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 43648 and 43661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43648 and 43661, than apply into the LCM equation.

GCF(43648,43661) = 1
LCM(43648,43661) = ( 43648 × 43661) / 1
LCM(43648,43661) = 1905715328 / 1
LCM(43648,43661) = 1905715328

Least Common Multiple (LCM) of 43648 and 43661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43648 and 43661. First we will calculate the prime factors of 43648 and 43661.

Prime Factorization of 43648

Prime Factorization of 43661

Now multiplying the highest exponent prime factors to calculate the LCM of 43648 and 43661.

LCM(43648,43661) = 2⁷ × 11¹ × 31¹ × 43661¹
LCM(43648,43661) = 1905715328