What is the Least Common Multiple of 29232 and 29240?

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 29232 and 29240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29232 and 29240, than apply into the LCM equation.

GCF(29232,29240) = 8
LCM(29232,29240) = ( 29232 × 29240) / 8
LCM(29232,29240) = 854743680 / 8
LCM(29232,29240) = 106842960

Least Common Multiple (LCM) of 29232 and 29240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29232 and 29240. First we will calculate the prime factors of 29232 and 29240.

Prime Factorization of 29232

Prime Factorization of 29240

Now multiplying the highest exponent prime factors to calculate the LCM of 29232 and 29240.

LCM(29232,29240) = 2⁴ × 3² × 7¹ × 29¹ × 5¹ × 17¹ × 43¹
LCM(29232,29240) = 106842960