What is the Least Common Multiple of 22750 and 22755?

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 22750 and 22755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22750 and 22755, than apply into the LCM equation.

GCF(22750,22755) = 5
LCM(22750,22755) = ( 22750 × 22755) / 5
LCM(22750,22755) = 517676250 / 5
LCM(22750,22755) = 103535250

Least Common Multiple (LCM) of 22750 and 22755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22750 and 22755. First we will calculate the prime factors of 22750 and 22755.

Prime Factorization of 22750

Prime Factorization of 22755

Now multiplying the highest exponent prime factors to calculate the LCM of 22750 and 22755.

LCM(22750,22755) = 2¹ × 5³ × 7¹ × 13¹ × 3¹ × 37¹ × 41¹
LCM(22750,22755) = 103535250