What is the Least Common Multiple of 3424 and 3435?

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 3424 and 3435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3424 and 3435, than apply into the LCM equation.

GCF(3424,3435) = 1
LCM(3424,3435) = ( 3424 × 3435) / 1
LCM(3424,3435) = 11761440 / 1
LCM(3424,3435) = 11761440

Least Common Multiple (LCM) of 3424 and 3435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3424 and 3435. First we will calculate the prime factors of 3424 and 3435.

Prime Factorization of 3424

Prime Factorization of 3435

Now multiplying the highest exponent prime factors to calculate the LCM of 3424 and 3435.

LCM(3424,3435) = 2⁵ × 107¹ × 3¹ × 5¹ × 229¹
LCM(3424,3435) = 11761440