What is the Least Common Multiple of 59985 and 59992?

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 59985 and 59992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59985 and 59992, than apply into the LCM equation.

GCF(59985,59992) = 1
LCM(59985,59992) = ( 59985 × 59992) / 1
LCM(59985,59992) = 3598620120 / 1
LCM(59985,59992) = 3598620120

Least Common Multiple (LCM) of 59985 and 59992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59985 and 59992. First we will calculate the prime factors of 59985 and 59992.

Prime Factorization of 59985

Prime Factorization of 59992

Now multiplying the highest exponent prime factors to calculate the LCM of 59985 and 59992.

LCM(59985,59992) = 3² × 5¹ × 31¹ × 43¹ × 2³ × 7499¹
LCM(59985,59992) = 3598620120