What is the Least Common Multiple of 61177 and 61197?

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 61177 and 61197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61177 and 61197, than apply into the LCM equation.

GCF(61177,61197) = 1
LCM(61177,61197) = ( 61177 × 61197) / 1
LCM(61177,61197) = 3743848869 / 1
LCM(61177,61197) = 3743848869

Least Common Multiple (LCM) of 61177 and 61197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61177 and 61197. First we will calculate the prime factors of 61177 and 61197.

Prime Factorization of 61177

Prime Factorization of 61197

Now multiplying the highest exponent prime factors to calculate the LCM of 61177 and 61197.

LCM(61177,61197) = 131¹ × 467¹ × 3¹ × 20399¹
LCM(61177,61197) = 3743848869