What is the Least Common Multiple of 22542 and 22562?

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 22542 and 22562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22542 and 22562, than apply into the LCM equation.

GCF(22542,22562) = 2
LCM(22542,22562) = ( 22542 × 22562) / 2
LCM(22542,22562) = 508592604 / 2
LCM(22542,22562) = 254296302

Least Common Multiple (LCM) of 22542 and 22562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22542 and 22562. First we will calculate the prime factors of 22542 and 22562.

Prime Factorization of 22542

Prime Factorization of 22562

Now multiplying the highest exponent prime factors to calculate the LCM of 22542 and 22562.

LCM(22542,22562) = 2¹ × 3¹ × 13¹ × 17² × 29¹ × 389¹
LCM(22542,22562) = 254296302