What is the Least Common Multiple of 59986 and 59990?

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 59986 and 59990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59986 and 59990, than apply into the LCM equation.

GCF(59986,59990) = 2
LCM(59986,59990) = ( 59986 × 59990) / 2
LCM(59986,59990) = 3598560140 / 2
LCM(59986,59990) = 1799280070

Least Common Multiple (LCM) of 59986 and 59990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59986 and 59990. First we will calculate the prime factors of 59986 and 59990.

Prime Factorization of 59986

Prime Factorization of 59990

Now multiplying the highest exponent prime factors to calculate the LCM of 59986 and 59990.

LCM(59986,59990) = 2¹ × 89¹ × 337¹ × 5¹ × 7¹ × 857¹
LCM(59986,59990) = 1799280070