What is the Least Common Multiple of 59983 and 59997?

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 59983 and 59997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59983 and 59997, than apply into the LCM equation.

GCF(59983,59997) = 7
LCM(59983,59997) = ( 59983 × 59997) / 7
LCM(59983,59997) = 3598800051 / 7
LCM(59983,59997) = 514114293

Least Common Multiple (LCM) of 59983 and 59997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59983 and 59997. First we will calculate the prime factors of 59983 and 59997.

Prime Factorization of 59983

Prime Factorization of 59997

Now multiplying the highest exponent prime factors to calculate the LCM of 59983 and 59997.

LCM(59983,59997) = 7¹ × 11¹ × 19¹ × 41¹ × 3¹ × 2857¹
LCM(59983,59997) = 514114293