What is the Least Common Multiple of 29860 and 29872?

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 29860 and 29872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29860 and 29872, than apply into the LCM equation.

GCF(29860,29872) = 4
LCM(29860,29872) = ( 29860 × 29872) / 4
LCM(29860,29872) = 891977920 / 4
LCM(29860,29872) = 222994480

Least Common Multiple (LCM) of 29860 and 29872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29860 and 29872. First we will calculate the prime factors of 29860 and 29872.

Prime Factorization of 29860

Prime Factorization of 29872

Now multiplying the highest exponent prime factors to calculate the LCM of 29860 and 29872.

LCM(29860,29872) = 2⁴ × 5¹ × 1493¹ × 1867¹
LCM(29860,29872) = 222994480