What is the Least Common Multiple of 61104 and 61114?

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 61104 and 61114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61104 and 61114, than apply into the LCM equation.

GCF(61104,61114) = 2
LCM(61104,61114) = ( 61104 × 61114) / 2
LCM(61104,61114) = 3734309856 / 2
LCM(61104,61114) = 1867154928

Least Common Multiple (LCM) of 61104 and 61114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61104 and 61114. First we will calculate the prime factors of 61104 and 61114.

Prime Factorization of 61104

Prime Factorization of 61114

Now multiplying the highest exponent prime factors to calculate the LCM of 61104 and 61114.

LCM(61104,61114) = 2⁴ × 3¹ × 19¹ × 67¹ × 30557¹
LCM(61104,61114) = 1867154928