What is the Least Common Multiple of 59892 and 59896?

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 59896 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 59896, than apply into the LCM equation.

GCF(59892,59896) = 4
LCM(59892,59896) = ( 59892 × 59896) / 4
LCM(59892,59896) = 3587291232 / 4
LCM(59892,59896) = 896822808

Least Common Multiple (LCM) of 59892 and 59896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59892 and 59896. First we will calculate the prime factors of 59892 and 59896.

Prime Factorization of 59892

Prime Factorization of 59896

Now multiplying the highest exponent prime factors to calculate the LCM of 59892 and 59896.

LCM(59892,59896) = 2³ × 3¹ × 7¹ × 23¹ × 31¹ × 7487¹
LCM(59892,59896) = 896822808