What is the Least Common Multiple of 22600 and 22614?

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 22600 and 22614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22600 and 22614, than apply into the LCM equation.

GCF(22600,22614) = 2
LCM(22600,22614) = ( 22600 × 22614) / 2
LCM(22600,22614) = 511076400 / 2
LCM(22600,22614) = 255538200

Least Common Multiple (LCM) of 22600 and 22614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22600 and 22614. First we will calculate the prime factors of 22600 and 22614.

Prime Factorization of 22600

Prime Factorization of 22614

Now multiplying the highest exponent prime factors to calculate the LCM of 22600 and 22614.

LCM(22600,22614) = 2³ × 5² × 113¹ × 3¹ × 3769¹
LCM(22600,22614) = 255538200