What is the Least Common Multiple of 59904 and 59919?

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 59904 and 59919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59904 and 59919, than apply into the LCM equation.

GCF(59904,59919) = 3
LCM(59904,59919) = ( 59904 × 59919) / 3
LCM(59904,59919) = 3589387776 / 3
LCM(59904,59919) = 1196462592

Least Common Multiple (LCM) of 59904 and 59919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59904 and 59919. First we will calculate the prime factors of 59904 and 59919.

Prime Factorization of 59904

Prime Factorization of 59919

Now multiplying the highest exponent prime factors to calculate the LCM of 59904 and 59919.

LCM(59904,59919) = 2⁹ × 3² × 13¹ × 19973¹
LCM(59904,59919) = 1196462592