What is the Least Common Multiple of 61663 and 61679?

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 61663 and 61679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61663 and 61679, than apply into the LCM equation.

GCF(61663,61679) = 1
LCM(61663,61679) = ( 61663 × 61679) / 1
LCM(61663,61679) = 3803312177 / 1
LCM(61663,61679) = 3803312177

Least Common Multiple (LCM) of 61663 and 61679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61663 and 61679. First we will calculate the prime factors of 61663 and 61679.

Prime Factorization of 61663

Prime Factorization of 61679

Now multiplying the highest exponent prime factors to calculate the LCM of 61663 and 61679.

LCM(61663,61679) = 7¹ × 23¹ × 383¹ × 37¹ × 1667¹
LCM(61663,61679) = 3803312177