What is the Least Common Multiple of 29140 and 29152?

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 29140 and 29152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29140 and 29152, than apply into the LCM equation.

GCF(29140,29152) = 4
LCM(29140,29152) = ( 29140 × 29152) / 4
LCM(29140,29152) = 849489280 / 4
LCM(29140,29152) = 212372320

Least Common Multiple (LCM) of 29140 and 29152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29140 and 29152. First we will calculate the prime factors of 29140 and 29152.

Prime Factorization of 29140

Prime Factorization of 29152

Now multiplying the highest exponent prime factors to calculate the LCM of 29140 and 29152.

LCM(29140,29152) = 2⁵ × 5¹ × 31¹ × 47¹ × 911¹
LCM(29140,29152) = 212372320