What is the Least Common Multiple of 55574 and 55582?

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 55574 and 55582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55574 and 55582, than apply into the LCM equation.

GCF(55574,55582) = 2
LCM(55574,55582) = ( 55574 × 55582) / 2
LCM(55574,55582) = 3088914068 / 2
LCM(55574,55582) = 1544457034

Least Common Multiple (LCM) of 55574 and 55582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55574 and 55582. First we will calculate the prime factors of 55574 and 55582.

Prime Factorization of 55574

Prime Factorization of 55582

Now multiplying the highest exponent prime factors to calculate the LCM of 55574 and 55582.

LCM(55574,55582) = 2¹ × 37¹ × 751¹ × 27791¹
LCM(55574,55582) = 1544457034