What is the Least Common Multiple of 29152 and 29162?

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 29152 and 29162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29152 and 29162, than apply into the LCM equation.

GCF(29152,29162) = 2
LCM(29152,29162) = ( 29152 × 29162) / 2
LCM(29152,29162) = 850130624 / 2
LCM(29152,29162) = 425065312

Least Common Multiple (LCM) of 29152 and 29162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29152 and 29162. First we will calculate the prime factors of 29152 and 29162.

Prime Factorization of 29152

Prime Factorization of 29162

Now multiplying the highest exponent prime factors to calculate the LCM of 29152 and 29162.

LCM(29152,29162) = 2⁵ × 911¹ × 7¹ × 2083¹
LCM(29152,29162) = 425065312