What is the Least Common Multiple of 59892 and 59904?

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 59892 and 59904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59892 and 59904, than apply into the LCM equation.

GCF(59892,59904) = 12
LCM(59892,59904) = ( 59892 × 59904) / 12
LCM(59892,59904) = 3587770368 / 12
LCM(59892,59904) = 298980864

Least Common Multiple (LCM) of 59892 and 59904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59892 and 59904. First we will calculate the prime factors of 59892 and 59904.

Prime Factorization of 59892

Prime Factorization of 59904

Now multiplying the highest exponent prime factors to calculate the LCM of 59892 and 59904.

LCM(59892,59904) = 2⁹ × 3² × 7¹ × 23¹ × 31¹ × 13¹
LCM(59892,59904) = 298980864