What is the Least Common Multiple of 61176 and 61183?

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 61176 and 61183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61176 and 61183, than apply into the LCM equation.

GCF(61176,61183) = 1
LCM(61176,61183) = ( 61176 × 61183) / 1
LCM(61176,61183) = 3742931208 / 1
LCM(61176,61183) = 3742931208

Least Common Multiple (LCM) of 61176 and 61183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61176 and 61183. First we will calculate the prime factors of 61176 and 61183.

Prime Factorization of 61176

Prime Factorization of 61183

Now multiplying the highest exponent prime factors to calculate the LCM of 61176 and 61183.

LCM(61176,61183) = 2³ × 3¹ × 2549¹ × 17¹ × 59¹ × 61¹
LCM(61176,61183) = 3742931208