What is the Least Common Multiple of 29072 and 29080?

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 29072 and 29080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29072 and 29080, than apply into the LCM equation.

GCF(29072,29080) = 8
LCM(29072,29080) = ( 29072 × 29080) / 8
LCM(29072,29080) = 845413760 / 8
LCM(29072,29080) = 105676720

Least Common Multiple (LCM) of 29072 and 29080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29072 and 29080. First we will calculate the prime factors of 29072 and 29080.

Prime Factorization of 29072

Prime Factorization of 29080

Now multiplying the highest exponent prime factors to calculate the LCM of 29072 and 29080.

LCM(29072,29080) = 2⁴ × 23¹ × 79¹ × 5¹ × 727¹
LCM(29072,29080) = 105676720