What is the Least Common Multiple of 61688 and 61706?

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 61688 and 61706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61688 and 61706, than apply into the LCM equation.

GCF(61688,61706) = 2
LCM(61688,61706) = ( 61688 × 61706) / 2
LCM(61688,61706) = 3806519728 / 2
LCM(61688,61706) = 1903259864

Least Common Multiple (LCM) of 61688 and 61706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61688 and 61706. First we will calculate the prime factors of 61688 and 61706.

Prime Factorization of 61688

Prime Factorization of 61706

Now multiplying the highest exponent prime factors to calculate the LCM of 61688 and 61706.

LCM(61688,61706) = 2³ × 11¹ × 701¹ × 30853¹
LCM(61688,61706) = 1903259864