What is the Least Common Multiple of 4172 and 4192?

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 4172 and 4192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4172 and 4192, than apply into the LCM equation.

GCF(4172,4192) = 4
LCM(4172,4192) = ( 4172 × 4192) / 4
LCM(4172,4192) = 17489024 / 4
LCM(4172,4192) = 4372256

Least Common Multiple (LCM) of 4172 and 4192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4172 and 4192. First we will calculate the prime factors of 4172 and 4192.

Prime Factorization of 4172

Prime Factorization of 4192

Now multiplying the highest exponent prime factors to calculate the LCM of 4172 and 4192.

LCM(4172,4192) = 2⁵ × 7¹ × 149¹ × 131¹
LCM(4172,4192) = 4372256