What is the Least Common Multiple of 29028 and 29040?

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 29028 and 29040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29028 and 29040, than apply into the LCM equation.

GCF(29028,29040) = 12
LCM(29028,29040) = ( 29028 × 29040) / 12
LCM(29028,29040) = 842973120 / 12
LCM(29028,29040) = 70247760

Least Common Multiple (LCM) of 29028 and 29040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29028 and 29040. First we will calculate the prime factors of 29028 and 29040.

Prime Factorization of 29028

Prime Factorization of 29040

Now multiplying the highest exponent prime factors to calculate the LCM of 29028 and 29040.

LCM(29028,29040) = 2⁴ × 3¹ × 41¹ × 59¹ × 5¹ × 11²
LCM(29028,29040) = 70247760