What is the Least Common Multiple of 61683 and 61699?

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 61683 and 61699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61683 and 61699, than apply into the LCM equation.

GCF(61683,61699) = 1
LCM(61683,61699) = ( 61683 × 61699) / 1
LCM(61683,61699) = 3805779417 / 1
LCM(61683,61699) = 3805779417

Least Common Multiple (LCM) of 61683 and 61699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61683 and 61699. First we will calculate the prime factors of 61683 and 61699.

Prime Factorization of 61683

Prime Factorization of 61699

Now multiplying the highest exponent prime factors to calculate the LCM of 61683 and 61699.

LCM(61683,61699) = 3¹ × 29¹ × 709¹ × 11¹ × 71¹ × 79¹
LCM(61683,61699) = 3805779417