What is the Least Common Multiple of 4176 and 4185?

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 4176 and 4185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4176 and 4185, than apply into the LCM equation.

GCF(4176,4185) = 9
LCM(4176,4185) = ( 4176 × 4185) / 9
LCM(4176,4185) = 17476560 / 9
LCM(4176,4185) = 1941840

Least Common Multiple (LCM) of 4176 and 4185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4176 and 4185. First we will calculate the prime factors of 4176 and 4185.

Prime Factorization of 4176

Prime Factorization of 4185

Now multiplying the highest exponent prime factors to calculate the LCM of 4176 and 4185.

LCM(4176,4185) = 2⁴ × 3³ × 29¹ × 5¹ × 31¹
LCM(4176,4185) = 1941840