What is the Least Common Multiple of 42900 and 42904?

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 42900 and 42904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42900 and 42904, than apply into the LCM equation.

GCF(42900,42904) = 4
LCM(42900,42904) = ( 42900 × 42904) / 4
LCM(42900,42904) = 1840581600 / 4
LCM(42900,42904) = 460145400

Least Common Multiple (LCM) of 42900 and 42904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42900 and 42904. First we will calculate the prime factors of 42900 and 42904.

Prime Factorization of 42900

Prime Factorization of 42904

Now multiplying the highest exponent prime factors to calculate the LCM of 42900 and 42904.

LCM(42900,42904) = 2³ × 3¹ × 5² × 11¹ × 13¹ × 31¹ × 173¹
LCM(42900,42904) = 460145400