What is the Least Common Multiple of 55698 and 55718?

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 55698 and 55718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55698 and 55718, than apply into the LCM equation.

GCF(55698,55718) = 2
LCM(55698,55718) = ( 55698 × 55718) / 2
LCM(55698,55718) = 3103381164 / 2
LCM(55698,55718) = 1551690582

Least Common Multiple (LCM) of 55698 and 55718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55698 and 55718. First we will calculate the prime factors of 55698 and 55718.

Prime Factorization of 55698

Prime Factorization of 55718

Now multiplying the highest exponent prime factors to calculate the LCM of 55698 and 55718.

LCM(55698,55718) = 2¹ × 3¹ × 9283¹ × 13¹ × 2143¹
LCM(55698,55718) = 1551690582