What is the Least Common Multiple of 3362 and 3367?

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 3362 and 3367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3362 and 3367, than apply into the LCM equation.

GCF(3362,3367) = 1
LCM(3362,3367) = ( 3362 × 3367) / 1
LCM(3362,3367) = 11319854 / 1
LCM(3362,3367) = 11319854

Least Common Multiple (LCM) of 3362 and 3367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3362 and 3367. First we will calculate the prime factors of 3362 and 3367.

Prime Factorization of 3362

Prime Factorization of 3367

Now multiplying the highest exponent prime factors to calculate the LCM of 3362 and 3367.

LCM(3362,3367) = 2¹ × 41² × 7¹ × 13¹ × 37¹
LCM(3362,3367) = 11319854