What is the Least Common Multiple of 22758 and 22778?

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 22758 and 22778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22758 and 22778, than apply into the LCM equation.

GCF(22758,22778) = 2
LCM(22758,22778) = ( 22758 × 22778) / 2
LCM(22758,22778) = 518381724 / 2
LCM(22758,22778) = 259190862

Least Common Multiple (LCM) of 22758 and 22778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22758 and 22778. First we will calculate the prime factors of 22758 and 22778.

Prime Factorization of 22758

Prime Factorization of 22778

Now multiplying the highest exponent prime factors to calculate the LCM of 22758 and 22778.

LCM(22758,22778) = 2¹ × 3¹ × 3793¹ × 7¹ × 1627¹
LCM(22758,22778) = 259190862