What is the Least Common Multiple of 61689 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 61689 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 61689 and 61699, than apply into the LCM equation.

GCF(61689,61699) = 1
LCM(61689,61699) = ( 61689 × 61699) / 1
LCM(61689,61699) = 3806149611 / 1
LCM(61689,61699) = 3806149611

Least Common Multiple (LCM) of 61689 and 61699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61689 and 61699. First we will calculate the prime factors of 61689 and 61699.

Prime Factorization of 61689

Prime Factorization of 61699

Now multiplying the highest exponent prime factors to calculate the LCM of 61689 and 61699.

LCM(61689,61699) = 3¹ × 20563¹ × 11¹ × 71¹ × 79¹
LCM(61689,61699) = 3806149611