What is the Least Common Multiple of 29872 and 29877?

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 29872 and 29877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29872 and 29877, than apply into the LCM equation.

GCF(29872,29877) = 1
LCM(29872,29877) = ( 29872 × 29877) / 1
LCM(29872,29877) = 892485744 / 1
LCM(29872,29877) = 892485744

Least Common Multiple (LCM) of 29872 and 29877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29872 and 29877. First we will calculate the prime factors of 29872 and 29877.

Prime Factorization of 29872

Prime Factorization of 29877

Now multiplying the highest exponent prime factors to calculate the LCM of 29872 and 29877.

LCM(29872,29877) = 2⁴ × 1867¹ × 3¹ × 23¹ × 433¹
LCM(29872,29877) = 892485744