What is the Least Common Multiple of 29656 and 29672?

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 29656 and 29672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29656 and 29672, than apply into the LCM equation.

GCF(29656,29672) = 8
LCM(29656,29672) = ( 29656 × 29672) / 8
LCM(29656,29672) = 879952832 / 8
LCM(29656,29672) = 109994104

Least Common Multiple (LCM) of 29656 and 29672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29656 and 29672. First we will calculate the prime factors of 29656 and 29672.

Prime Factorization of 29656

Prime Factorization of 29672

Now multiplying the highest exponent prime factors to calculate the LCM of 29656 and 29672.

LCM(29656,29672) = 2³ × 11¹ × 337¹ × 3709¹
LCM(29656,29672) = 109994104