What is the Least Common Multiple of 29900 and 29904?

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 29900 and 29904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29900 and 29904, than apply into the LCM equation.

GCF(29900,29904) = 4
LCM(29900,29904) = ( 29900 × 29904) / 4
LCM(29900,29904) = 894129600 / 4
LCM(29900,29904) = 223532400

Least Common Multiple (LCM) of 29900 and 29904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29900 and 29904. First we will calculate the prime factors of 29900 and 29904.

Prime Factorization of 29900

Prime Factorization of 29904

Now multiplying the highest exponent prime factors to calculate the LCM of 29900 and 29904.

LCM(29900,29904) = 2⁴ × 5² × 13¹ × 23¹ × 3¹ × 7¹ × 89¹
LCM(29900,29904) = 223532400