What is the Least Common Multiple of 87178 and 87184?

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 87178 and 87184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87178 and 87184, than apply into the LCM equation.

GCF(87178,87184) = 2
LCM(87178,87184) = ( 87178 × 87184) / 2
LCM(87178,87184) = 7600526752 / 2
LCM(87178,87184) = 3800263376

Least Common Multiple (LCM) of 87178 and 87184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87178 and 87184. First we will calculate the prime factors of 87178 and 87184.

Prime Factorization of 87178

Prime Factorization of 87184

Now multiplying the highest exponent prime factors to calculate the LCM of 87178 and 87184.

LCM(87178,87184) = 2⁴ × 7¹ × 13¹ × 479¹ × 5449¹
LCM(87178,87184) = 3800263376