What is the Least Common Multiple of 59904 and 59921?

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 59921 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 59921, than apply into the LCM equation.

GCF(59904,59921) = 1
LCM(59904,59921) = ( 59904 × 59921) / 1
LCM(59904,59921) = 3589507584 / 1
LCM(59904,59921) = 3589507584

Least Common Multiple (LCM) of 59904 and 59921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59904 and 59921. First we will calculate the prime factors of 59904 and 59921.

Prime Factorization of 59904

Prime Factorization of 59921

Now multiplying the highest exponent prime factors to calculate the LCM of 59904 and 59921.

LCM(59904,59921) = 2⁹ × 3² × 13¹ × 59921¹
LCM(59904,59921) = 3589507584