What is the Least Common Multiple of 66541 and 66551?

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 66541 and 66551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66541 and 66551, than apply into the LCM equation.

GCF(66541,66551) = 1
LCM(66541,66551) = ( 66541 × 66551) / 1
LCM(66541,66551) = 4428370091 / 1
LCM(66541,66551) = 4428370091

Least Common Multiple (LCM) of 66541 and 66551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66541 and 66551. First we will calculate the prime factors of 66541 and 66551.

Prime Factorization of 66541

Prime Factorization of 66551

Now multiplying the highest exponent prime factors to calculate the LCM of 66541 and 66551.

LCM(66541,66551) = 66541¹ × 61¹ × 1091¹
LCM(66541,66551) = 4428370091