What is the Least Common Multiple of 61174 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 61174 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 61174 and 61184, than apply into the LCM equation.

GCF(61174,61184) = 2
LCM(61174,61184) = ( 61174 × 61184) / 2
LCM(61174,61184) = 3742870016 / 2
LCM(61174,61184) = 1871435008

Least Common Multiple (LCM) of 61174 and 61184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61174 and 61184. First we will calculate the prime factors of 61174 and 61184.

Prime Factorization of 61174

Prime Factorization of 61184

Now multiplying the highest exponent prime factors to calculate the LCM of 61174 and 61184.

LCM(61174,61184) = 2⁸ × 73¹ × 419¹ × 239¹
LCM(61174,61184) = 1871435008