What is the Least Common Multiple of 55566 and 55574?

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 55566 and 55574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55566 and 55574, than apply into the LCM equation.

GCF(55566,55574) = 2
LCM(55566,55574) = ( 55566 × 55574) / 2
LCM(55566,55574) = 3088024884 / 2
LCM(55566,55574) = 1544012442

Least Common Multiple (LCM) of 55566 and 55574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55566 and 55574. First we will calculate the prime factors of 55566 and 55574.

Prime Factorization of 55566

Prime Factorization of 55574

Now multiplying the highest exponent prime factors to calculate the LCM of 55566 and 55574.

LCM(55566,55574) = 2¹ × 3⁴ × 7³ × 37¹ × 751¹
LCM(55566,55574) = 1544012442