What is the Least Common Multiple of 29360 and 29378?

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 29360 and 29378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29360 and 29378, than apply into the LCM equation.

GCF(29360,29378) = 2
LCM(29360,29378) = ( 29360 × 29378) / 2
LCM(29360,29378) = 862538080 / 2
LCM(29360,29378) = 431269040

Least Common Multiple (LCM) of 29360 and 29378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29360 and 29378. First we will calculate the prime factors of 29360 and 29378.

Prime Factorization of 29360

Prime Factorization of 29378

Now multiplying the highest exponent prime factors to calculate the LCM of 29360 and 29378.

LCM(29360,29378) = 2⁴ × 5¹ × 367¹ × 37¹ × 397¹
LCM(29360,29378) = 431269040