What is the Least Common Multiple of 61176 and 61184?

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 61184 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 61184, than apply into the LCM equation.

GCF(61176,61184) = 8
LCM(61176,61184) = ( 61176 × 61184) / 8
LCM(61176,61184) = 3742992384 / 8
LCM(61176,61184) = 467874048

Least Common Multiple (LCM) of 61176 and 61184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61176 and 61184. First we will calculate the prime factors of 61176 and 61184.

Prime Factorization of 61176

Prime Factorization of 61184

Now multiplying the highest exponent prime factors to calculate the LCM of 61176 and 61184.

LCM(61176,61184) = 2⁸ × 3¹ × 2549¹ × 239¹
LCM(61176,61184) = 467874048