What is the Least Common Multiple of 40641 and 40661?

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 40641 and 40661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40641 and 40661, than apply into the LCM equation.

GCF(40641,40661) = 1
LCM(40641,40661) = ( 40641 × 40661) / 1
LCM(40641,40661) = 1652503701 / 1
LCM(40641,40661) = 1652503701

Least Common Multiple (LCM) of 40641 and 40661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40641 and 40661. First we will calculate the prime factors of 40641 and 40661.

Prime Factorization of 40641

Prime Factorization of 40661

Now multiplying the highest exponent prime factors to calculate the LCM of 40641 and 40661.

LCM(40641,40661) = 3¹ × 19¹ × 23¹ × 31¹ × 73¹ × 557¹
LCM(40641,40661) = 1652503701