What is the Least Common Multiple of 61089 and 61101?

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 61089 and 61101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61089 and 61101, than apply into the LCM equation.

GCF(61089,61101) = 3
LCM(61089,61101) = ( 61089 × 61101) / 3
LCM(61089,61101) = 3732598989 / 3
LCM(61089,61101) = 1244199663

Least Common Multiple (LCM) of 61089 and 61101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61089 and 61101. First we will calculate the prime factors of 61089 and 61101.

Prime Factorization of 61089

Prime Factorization of 61101

Now multiplying the highest exponent prime factors to calculate the LCM of 61089 and 61101.

LCM(61089,61101) = 3³ × 7¹ × 2909¹ × 31¹ × 73¹
LCM(61089,61101) = 1244199663