What is the Least Common Multiple of 59991 and 59999?

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 59991 and 59999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59991 and 59999, than apply into the LCM equation.

GCF(59991,59999) = 1
LCM(59991,59999) = ( 59991 × 59999) / 1
LCM(59991,59999) = 3599400009 / 1
LCM(59991,59999) = 3599400009

Least Common Multiple (LCM) of 59991 and 59999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59991 and 59999. First we will calculate the prime factors of 59991 and 59999.

Prime Factorization of 59991

Prime Factorization of 59999

Now multiplying the highest exponent prime factors to calculate the LCM of 59991 and 59999.

LCM(59991,59999) = 3¹ × 19997¹ × 59999¹
LCM(59991,59999) = 3599400009