What is the Least Common Multiple of 4185 and 4196?

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 4185 and 4196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4185 and 4196, than apply into the LCM equation.

GCF(4185,4196) = 1
LCM(4185,4196) = ( 4185 × 4196) / 1
LCM(4185,4196) = 17560260 / 1
LCM(4185,4196) = 17560260

Least Common Multiple (LCM) of 4185 and 4196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4185 and 4196. First we will calculate the prime factors of 4185 and 4196.

Prime Factorization of 4185

Prime Factorization of 4196

Now multiplying the highest exponent prime factors to calculate the LCM of 4185 and 4196.

LCM(4185,4196) = 3³ × 5¹ × 31¹ × 2² × 1049¹
LCM(4185,4196) = 17560260