What is the Least Common Multiple of 4170 and 4184?

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 4170 and 4184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4170 and 4184, than apply into the LCM equation.

GCF(4170,4184) = 2
LCM(4170,4184) = ( 4170 × 4184) / 2
LCM(4170,4184) = 17447280 / 2
LCM(4170,4184) = 8723640

Least Common Multiple (LCM) of 4170 and 4184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4170 and 4184. First we will calculate the prime factors of 4170 and 4184.

Prime Factorization of 4170

Prime Factorization of 4184

Now multiplying the highest exponent prime factors to calculate the LCM of 4170 and 4184.

LCM(4170,4184) = 2³ × 3¹ × 5¹ × 139¹ × 523¹
LCM(4170,4184) = 8723640