What is the Least Common Multiple of 43152 and 43172?

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 43152 and 43172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43152 and 43172, than apply into the LCM equation.

GCF(43152,43172) = 4
LCM(43152,43172) = ( 43152 × 43172) / 4
LCM(43152,43172) = 1862958144 / 4
LCM(43152,43172) = 465739536

Least Common Multiple (LCM) of 43152 and 43172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43152 and 43172. First we will calculate the prime factors of 43152 and 43172.

Prime Factorization of 43152

Prime Factorization of 43172

Now multiplying the highest exponent prime factors to calculate the LCM of 43152 and 43172.

LCM(43152,43172) = 2⁴ × 3¹ × 29¹ × 31¹ × 43¹ × 251¹
LCM(43152,43172) = 465739536