What is the Least Common Multiple of 59976 and 59985?

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 59976 and 59985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59976 and 59985, than apply into the LCM equation.

GCF(59976,59985) = 9
LCM(59976,59985) = ( 59976 × 59985) / 9
LCM(59976,59985) = 3597660360 / 9
LCM(59976,59985) = 399740040

Least Common Multiple (LCM) of 59976 and 59985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59976 and 59985. First we will calculate the prime factors of 59976 and 59985.

Prime Factorization of 59976

Prime Factorization of 59985

Now multiplying the highest exponent prime factors to calculate the LCM of 59976 and 59985.

LCM(59976,59985) = 2³ × 3² × 7² × 17¹ × 5¹ × 31¹ × 43¹
LCM(59976,59985) = 399740040