What is the Least Common Multiple of 59976 and 59984?

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 59984 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 59984, than apply into the LCM equation.

GCF(59976,59984) = 8
LCM(59976,59984) = ( 59976 × 59984) / 8
LCM(59976,59984) = 3597600384 / 8
LCM(59976,59984) = 449700048

Least Common Multiple (LCM) of 59976 and 59984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59976 and 59984. First we will calculate the prime factors of 59976 and 59984.

Prime Factorization of 59976

Prime Factorization of 59984

Now multiplying the highest exponent prime factors to calculate the LCM of 59976 and 59984.

LCM(59976,59984) = 2⁴ × 3² × 7² × 17¹ × 23¹ × 163¹
LCM(59976,59984) = 449700048