What is the Least Common Multiple of 55689 and 55707?

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 55689 and 55707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55689 and 55707, than apply into the LCM equation.

GCF(55689,55707) = 3
LCM(55689,55707) = ( 55689 × 55707) / 3
LCM(55689,55707) = 3102267123 / 3
LCM(55689,55707) = 1034089041

Least Common Multiple (LCM) of 55689 and 55707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55689 and 55707. First we will calculate the prime factors of 55689 and 55707.

Prime Factorization of 55689

Prime Factorization of 55707

Now multiplying the highest exponent prime factors to calculate the LCM of 55689 and 55707.

LCM(55689,55707) = 3¹ × 19¹ × 977¹ × 31¹ × 599¹
LCM(55689,55707) = 1034089041