What is the Least Common Multiple of 29874 and 29888?

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 29874 and 29888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29874 and 29888, than apply into the LCM equation.

GCF(29874,29888) = 2
LCM(29874,29888) = ( 29874 × 29888) / 2
LCM(29874,29888) = 892874112 / 2
LCM(29874,29888) = 446437056

Least Common Multiple (LCM) of 29874 and 29888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29874 and 29888. First we will calculate the prime factors of 29874 and 29888.

Prime Factorization of 29874

Prime Factorization of 29888

Now multiplying the highest exponent prime factors to calculate the LCM of 29874 and 29888.

LCM(29874,29888) = 2⁶ × 3¹ × 13¹ × 383¹ × 467¹
LCM(29874,29888) = 446437056