What is the Least Common Multiple of 43435 and 43445?

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 43435 and 43445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43435 and 43445, than apply into the LCM equation.

GCF(43435,43445) = 5
LCM(43435,43445) = ( 43435 × 43445) / 5
LCM(43435,43445) = 1887033575 / 5
LCM(43435,43445) = 377406715

Least Common Multiple (LCM) of 43435 and 43445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43435 and 43445. First we will calculate the prime factors of 43435 and 43445.

Prime Factorization of 43435

Prime Factorization of 43445

Now multiplying the highest exponent prime factors to calculate the LCM of 43435 and 43445.

LCM(43435,43445) = 5¹ × 7¹ × 17¹ × 73¹ × 8689¹
LCM(43435,43445) = 377406715