What is the Least Common Multiple of 59292 and 59296?

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 59292 and 59296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59292 and 59296, than apply into the LCM equation.

GCF(59292,59296) = 4
LCM(59292,59296) = ( 59292 × 59296) / 4
LCM(59292,59296) = 3515778432 / 4
LCM(59292,59296) = 878944608

Least Common Multiple (LCM) of 59292 and 59296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59292 and 59296. First we will calculate the prime factors of 59292 and 59296.

Prime Factorization of 59292

Prime Factorization of 59296

Now multiplying the highest exponent prime factors to calculate the LCM of 59292 and 59296.

LCM(59292,59296) = 2⁵ × 3⁵ × 61¹ × 17¹ × 109¹
LCM(59292,59296) = 878944608