What is the Least Common Multiple of 29412 and 29430?

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 29412 and 29430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29412 and 29430, than apply into the LCM equation.

GCF(29412,29430) = 18
LCM(29412,29430) = ( 29412 × 29430) / 18
LCM(29412,29430) = 865595160 / 18
LCM(29412,29430) = 48088620

Least Common Multiple (LCM) of 29412 and 29430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29412 and 29430. First we will calculate the prime factors of 29412 and 29430.

Prime Factorization of 29412

Prime Factorization of 29430

Now multiplying the highest exponent prime factors to calculate the LCM of 29412 and 29430.

LCM(29412,29430) = 2² × 3³ × 19¹ × 43¹ × 5¹ × 109¹
LCM(29412,29430) = 48088620