What is the Least Common Multiple of 61101 and 61116?

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 61101 and 61116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61101 and 61116, than apply into the LCM equation.

GCF(61101,61116) = 3
LCM(61101,61116) = ( 61101 × 61116) / 3
LCM(61101,61116) = 3734248716 / 3
LCM(61101,61116) = 1244749572

Least Common Multiple (LCM) of 61101 and 61116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61101 and 61116. First we will calculate the prime factors of 61101 and 61116.

Prime Factorization of 61101

Prime Factorization of 61116

Now multiplying the highest exponent prime factors to calculate the LCM of 61101 and 61116.

LCM(61101,61116) = 3³ × 31¹ × 73¹ × 2² × 11¹ × 463¹
LCM(61101,61116) = 1244749572