What is the Least Common Multiple of 55688 and 55706?

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 55688 and 55706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55688 and 55706, than apply into the LCM equation.

GCF(55688,55706) = 2
LCM(55688,55706) = ( 55688 × 55706) / 2
LCM(55688,55706) = 3102155728 / 2
LCM(55688,55706) = 1551077864

Least Common Multiple (LCM) of 55688 and 55706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55688 and 55706. First we will calculate the prime factors of 55688 and 55706.

Prime Factorization of 55688

Prime Factorization of 55706

Now multiplying the highest exponent prime factors to calculate the LCM of 55688 and 55706.

LCM(55688,55706) = 2³ × 6961¹ × 7¹ × 23¹ × 173¹
LCM(55688,55706) = 1551077864