What is the Least Common Multiple of 59840 and 59856?

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 59840 and 59856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59840 and 59856, than apply into the LCM equation.

GCF(59840,59856) = 16
LCM(59840,59856) = ( 59840 × 59856) / 16
LCM(59840,59856) = 3581783040 / 16
LCM(59840,59856) = 223861440

Least Common Multiple (LCM) of 59840 and 59856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59840 and 59856. First we will calculate the prime factors of 59840 and 59856.

Prime Factorization of 59840

Prime Factorization of 59856

Now multiplying the highest exponent prime factors to calculate the LCM of 59840 and 59856.

LCM(59840,59856) = 2⁶ × 5¹ × 11¹ × 17¹ × 3¹ × 29¹ × 43¹
LCM(59840,59856) = 223861440