What is the Least Common Multiple of 59990 and 60008?

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 59990 and 60008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59990 and 60008, than apply into the LCM equation.

GCF(59990,60008) = 2
LCM(59990,60008) = ( 59990 × 60008) / 2
LCM(59990,60008) = 3599879920 / 2
LCM(59990,60008) = 1799939960

Least Common Multiple (LCM) of 59990 and 60008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59990 and 60008. First we will calculate the prime factors of 59990 and 60008.

Prime Factorization of 59990

Prime Factorization of 60008

Now multiplying the highest exponent prime factors to calculate the LCM of 59990 and 60008.

LCM(59990,60008) = 2³ × 5¹ × 7¹ × 857¹ × 13¹ × 577¹
LCM(59990,60008) = 1799939960