What is the Least Common Multiple of 3419 and 3437?

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 3419 and 3437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3419 and 3437, than apply into the LCM equation.

GCF(3419,3437) = 1
LCM(3419,3437) = ( 3419 × 3437) / 1
LCM(3419,3437) = 11751103 / 1
LCM(3419,3437) = 11751103

Least Common Multiple (LCM) of 3419 and 3437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3419 and 3437. First we will calculate the prime factors of 3419 and 3437.

Prime Factorization of 3419

Prime Factorization of 3437

Now multiplying the highest exponent prime factors to calculate the LCM of 3419 and 3437.

LCM(3419,3437) = 13¹ × 263¹ × 7¹ × 491¹
LCM(3419,3437) = 11751103