What is the Least Common Multiple of 55542 and 55546?

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 55542 and 55546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55542 and 55546, than apply into the LCM equation.

GCF(55542,55546) = 2
LCM(55542,55546) = ( 55542 × 55546) / 2
LCM(55542,55546) = 3085135932 / 2
LCM(55542,55546) = 1542567966

Least Common Multiple (LCM) of 55542 and 55546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55542 and 55546. First we will calculate the prime factors of 55542 and 55546.

Prime Factorization of 55542

Prime Factorization of 55546

Now multiplying the highest exponent prime factors to calculate the LCM of 55542 and 55546.

LCM(55542,55546) = 2¹ × 3¹ × 9257¹ × 27773¹
LCM(55542,55546) = 1542567966