What is the Least Common Multiple of 94900 and 94904?

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 94900 and 94904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94900 and 94904, than apply into the LCM equation.

GCF(94900,94904) = 4
LCM(94900,94904) = ( 94900 × 94904) / 4
LCM(94900,94904) = 9006389600 / 4
LCM(94900,94904) = 2251597400

Least Common Multiple (LCM) of 94900 and 94904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94900 and 94904. First we will calculate the prime factors of 94900 and 94904.

Prime Factorization of 94900

Prime Factorization of 94904

Now multiplying the highest exponent prime factors to calculate the LCM of 94900 and 94904.

LCM(94900,94904) = 2³ × 5² × 13¹ × 73¹ × 11863¹
LCM(94900,94904) = 2251597400