What is the Least Common Multiple of 61184 and 61190?

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 61184 and 61190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61184 and 61190, than apply into the LCM equation.

GCF(61184,61190) = 2
LCM(61184,61190) = ( 61184 × 61190) / 2
LCM(61184,61190) = 3743848960 / 2
LCM(61184,61190) = 1871924480

Least Common Multiple (LCM) of 61184 and 61190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61184 and 61190. First we will calculate the prime factors of 61184 and 61190.

Prime Factorization of 61184

Prime Factorization of 61190

Now multiplying the highest exponent prime factors to calculate the LCM of 61184 and 61190.

LCM(61184,61190) = 2⁸ × 239¹ × 5¹ × 29¹ × 211¹
LCM(61184,61190) = 1871924480