What is the Least Common Multiple of 22460 and 22470?

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 22460 and 22470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22460 and 22470, than apply into the LCM equation.

GCF(22460,22470) = 10
LCM(22460,22470) = ( 22460 × 22470) / 10
LCM(22460,22470) = 504676200 / 10
LCM(22460,22470) = 50467620

Least Common Multiple (LCM) of 22460 and 22470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22460 and 22470. First we will calculate the prime factors of 22460 and 22470.

Prime Factorization of 22460

Prime Factorization of 22470

Now multiplying the highest exponent prime factors to calculate the LCM of 22460 and 22470.

LCM(22460,22470) = 2² × 5¹ × 1123¹ × 3¹ × 7¹ × 107¹
LCM(22460,22470) = 50467620