What is the Least Common Multiple of 55986 and 56002?

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 55986 and 56002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55986 and 56002, than apply into the LCM equation.

GCF(55986,56002) = 2
LCM(55986,56002) = ( 55986 × 56002) / 2
LCM(55986,56002) = 3135327972 / 2
LCM(55986,56002) = 1567663986

Least Common Multiple (LCM) of 55986 and 56002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55986 and 56002. First we will calculate the prime factors of 55986 and 56002.

Prime Factorization of 55986

Prime Factorization of 56002

Now multiplying the highest exponent prime factors to calculate the LCM of 55986 and 56002.

LCM(55986,56002) = 2¹ × 3¹ × 7¹ × 31¹ × 43¹ × 28001¹
LCM(55986,56002) = 1567663986