What is the Least Common Multiple of 22435 and 22451?

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 22435 and 22451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22435 and 22451, than apply into the LCM equation.

GCF(22435,22451) = 1
LCM(22435,22451) = ( 22435 × 22451) / 1
LCM(22435,22451) = 503688185 / 1
LCM(22435,22451) = 503688185

Least Common Multiple (LCM) of 22435 and 22451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22435 and 22451. First we will calculate the prime factors of 22435 and 22451.

Prime Factorization of 22435

Prime Factorization of 22451

Now multiplying the highest exponent prime factors to calculate the LCM of 22435 and 22451.

LCM(22435,22451) = 5¹ × 7¹ × 641¹ × 11¹ × 13¹ × 157¹
LCM(22435,22451) = 503688185