What is the Least Common Multiple of 29456 and 29470?

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 29456 and 29470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29456 and 29470, than apply into the LCM equation.

GCF(29456,29470) = 14
LCM(29456,29470) = ( 29456 × 29470) / 14
LCM(29456,29470) = 868068320 / 14
LCM(29456,29470) = 62004880

Least Common Multiple (LCM) of 29456 and 29470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29456 and 29470. First we will calculate the prime factors of 29456 and 29470.

Prime Factorization of 29456

Prime Factorization of 29470

Now multiplying the highest exponent prime factors to calculate the LCM of 29456 and 29470.

LCM(29456,29470) = 2⁴ × 7¹ × 263¹ × 5¹ × 421¹
LCM(29456,29470) = 62004880