What is the Least Common Multiple of 27145 and 27161?

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 27145 and 27161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27145 and 27161, than apply into the LCM equation.

GCF(27145,27161) = 1
LCM(27145,27161) = ( 27145 × 27161) / 1
LCM(27145,27161) = 737285345 / 1
LCM(27145,27161) = 737285345

Least Common Multiple (LCM) of 27145 and 27161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27145 and 27161. First we will calculate the prime factors of 27145 and 27161.

Prime Factorization of 27145

Prime Factorization of 27161

Now multiplying the highest exponent prime factors to calculate the LCM of 27145 and 27161.

LCM(27145,27161) = 5¹ × 61¹ × 89¹ × 157¹ × 173¹
LCM(27145,27161) = 737285345