What is the Least Common Multiple of 89900 and 89904?

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 89900 and 89904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89900 and 89904, than apply into the LCM equation.

GCF(89900,89904) = 4
LCM(89900,89904) = ( 89900 × 89904) / 4
LCM(89900,89904) = 8082369600 / 4
LCM(89900,89904) = 2020592400

Least Common Multiple (LCM) of 89900 and 89904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89900 and 89904. First we will calculate the prime factors of 89900 and 89904.

Prime Factorization of 89900

Prime Factorization of 89904

Now multiplying the highest exponent prime factors to calculate the LCM of 89900 and 89904.

LCM(89900,89904) = 2⁴ × 5² × 29¹ × 31¹ × 3¹ × 1873¹
LCM(89900,89904) = 2020592400