What is the Least Common Multiple of 55707 and 55713?

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 55707 and 55713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55707 and 55713, than apply into the LCM equation.

GCF(55707,55713) = 3
LCM(55707,55713) = ( 55707 × 55713) / 3
LCM(55707,55713) = 3103604091 / 3
LCM(55707,55713) = 1034534697

Least Common Multiple (LCM) of 55707 and 55713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55707 and 55713. First we will calculate the prime factors of 55707 and 55713.

Prime Factorization of 55707

Prime Factorization of 55713

Now multiplying the highest exponent prime factors to calculate the LCM of 55707 and 55713.

LCM(55707,55713) = 3¹ × 31¹ × 599¹ × 7² × 379¹
LCM(55707,55713) = 1034534697