What is the Least Common Multiple of 55986 and 56003?

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 56003 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 56003, than apply into the LCM equation.

GCF(55986,56003) = 1
LCM(55986,56003) = ( 55986 × 56003) / 1
LCM(55986,56003) = 3135383958 / 1
LCM(55986,56003) = 3135383958

Least Common Multiple (LCM) of 55986 and 56003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55986 and 56003. First we will calculate the prime factors of 55986 and 56003.

Prime Factorization of 55986

Prime Factorization of 56003

Now multiplying the highest exponent prime factors to calculate the LCM of 55986 and 56003.

LCM(55986,56003) = 2¹ × 3¹ × 7¹ × 31¹ × 43¹ × 56003¹
LCM(55986,56003) = 3135383958