What is the Least Common Multiple of 20435 and 20440?

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 20435 and 20440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20435 and 20440, than apply into the LCM equation.

GCF(20435,20440) = 5
LCM(20435,20440) = ( 20435 × 20440) / 5
LCM(20435,20440) = 417691400 / 5
LCM(20435,20440) = 83538280

Least Common Multiple (LCM) of 20435 and 20440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20435 and 20440. First we will calculate the prime factors of 20435 and 20440.

Prime Factorization of 20435

Prime Factorization of 20440

Now multiplying the highest exponent prime factors to calculate the LCM of 20435 and 20440.

LCM(20435,20440) = 5¹ × 61¹ × 67¹ × 2³ × 7¹ × 73¹
LCM(20435,20440) = 83538280