What is the Least Common Multiple of 30874 and 30888?

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 30874 and 30888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30874 and 30888, than apply into the LCM equation.

GCF(30874,30888) = 2
LCM(30874,30888) = ( 30874 × 30888) / 2
LCM(30874,30888) = 953636112 / 2
LCM(30874,30888) = 476818056

Least Common Multiple (LCM) of 30874 and 30888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30874 and 30888. First we will calculate the prime factors of 30874 and 30888.

Prime Factorization of 30874

Prime Factorization of 30888

Now multiplying the highest exponent prime factors to calculate the LCM of 30874 and 30888.

LCM(30874,30888) = 2³ × 43¹ × 359¹ × 3³ × 11¹ × 13¹
LCM(30874,30888) = 476818056