What is the Least Common Multiple of 61667 and 61683?

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 61667 and 61683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61667 and 61683, than apply into the LCM equation.

GCF(61667,61683) = 1
LCM(61667,61683) = ( 61667 × 61683) / 1
LCM(61667,61683) = 3803805561 / 1
LCM(61667,61683) = 3803805561

Least Common Multiple (LCM) of 61667 and 61683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61667 and 61683. First we will calculate the prime factors of 61667 and 61683.

Prime Factorization of 61667

Prime Factorization of 61683

Now multiplying the highest exponent prime factors to calculate the LCM of 61667 and 61683.

LCM(61667,61683) = 61667¹ × 3¹ × 29¹ × 709¹
LCM(61667,61683) = 3803805561