What is the Least Common Multiple of 61407 and 61421?

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 61407 and 61421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61407 and 61421, than apply into the LCM equation.

GCF(61407,61421) = 1
LCM(61407,61421) = ( 61407 × 61421) / 1
LCM(61407,61421) = 3771679347 / 1
LCM(61407,61421) = 3771679347

Least Common Multiple (LCM) of 61407 and 61421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61407 and 61421. First we will calculate the prime factors of 61407 and 61421.

Prime Factorization of 61407

Prime Factorization of 61421

Now multiplying the highest exponent prime factors to calculate the LCM of 61407 and 61421.

LCM(61407,61421) = 3² × 6823¹ × 17¹ × 3613¹
LCM(61407,61421) = 3771679347