What is the Least Common Multiple of 35826 and 35830?

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 35826 and 35830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35826 and 35830, than apply into the LCM equation.

GCF(35826,35830) = 2
LCM(35826,35830) = ( 35826 × 35830) / 2
LCM(35826,35830) = 1283645580 / 2
LCM(35826,35830) = 641822790

Least Common Multiple (LCM) of 35826 and 35830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35826 and 35830. First we will calculate the prime factors of 35826 and 35830.

Prime Factorization of 35826

Prime Factorization of 35830

Now multiplying the highest exponent prime factors to calculate the LCM of 35826 and 35830.

LCM(35826,35830) = 2¹ × 3¹ × 7¹ × 853¹ × 5¹ × 3583¹
LCM(35826,35830) = 641822790