What is the Least Common Multiple of 61089 and 61096?

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 61096 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 61096, than apply into the LCM equation.

GCF(61089,61096) = 7
LCM(61089,61096) = ( 61089 × 61096) / 7
LCM(61089,61096) = 3732293544 / 7
LCM(61089,61096) = 533184792

Least Common Multiple (LCM) of 61089 and 61096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61089 and 61096. First we will calculate the prime factors of 61089 and 61096.

Prime Factorization of 61089

Prime Factorization of 61096

Now multiplying the highest exponent prime factors to calculate the LCM of 61089 and 61096.

LCM(61089,61096) = 3¹ × 7¹ × 2909¹ × 2³ × 1091¹
LCM(61089,61096) = 533184792