What is the Least Common Multiple of 3426 and 3445?

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 3426 and 3445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3426 and 3445, than apply into the LCM equation.

GCF(3426,3445) = 1
LCM(3426,3445) = ( 3426 × 3445) / 1
LCM(3426,3445) = 11802570 / 1
LCM(3426,3445) = 11802570

Least Common Multiple (LCM) of 3426 and 3445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3426 and 3445. First we will calculate the prime factors of 3426 and 3445.

Prime Factorization of 3426

Prime Factorization of 3445

Now multiplying the highest exponent prime factors to calculate the LCM of 3426 and 3445.

LCM(3426,3445) = 2¹ × 3¹ × 571¹ × 5¹ × 13¹ × 53¹
LCM(3426,3445) = 11802570