What is the Least Common Multiple of 22850 and 22864?

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 22850 and 22864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22850 and 22864, than apply into the LCM equation.

GCF(22850,22864) = 2
LCM(22850,22864) = ( 22850 × 22864) / 2
LCM(22850,22864) = 522442400 / 2
LCM(22850,22864) = 261221200

Least Common Multiple (LCM) of 22850 and 22864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22850 and 22864. First we will calculate the prime factors of 22850 and 22864.

Prime Factorization of 22850

Prime Factorization of 22864

Now multiplying the highest exponent prime factors to calculate the LCM of 22850 and 22864.

LCM(22850,22864) = 2⁴ × 5² × 457¹ × 1429¹
LCM(22850,22864) = 261221200