What is the Least Common Multiple of 30888 and 30899?

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 30888 and 30899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30888 and 30899, than apply into the LCM equation.

GCF(30888,30899) = 11
LCM(30888,30899) = ( 30888 × 30899) / 11
LCM(30888,30899) = 954408312 / 11
LCM(30888,30899) = 86764392

Least Common Multiple (LCM) of 30888 and 30899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30888 and 30899. First we will calculate the prime factors of 30888 and 30899.

Prime Factorization of 30888

Prime Factorization of 30899

Now multiplying the highest exponent prime factors to calculate the LCM of 30888 and 30899.

LCM(30888,30899) = 2³ × 3³ × 11¹ × 13¹ × 53²
LCM(30888,30899) = 86764392