What is the Least Common Multiple of 55083 and 55101?

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 55083 and 55101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55083 and 55101, than apply into the LCM equation.

GCF(55083,55101) = 3
LCM(55083,55101) = ( 55083 × 55101) / 3
LCM(55083,55101) = 3035128383 / 3
LCM(55083,55101) = 1011709461

Least Common Multiple (LCM) of 55083 and 55101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55083 and 55101. First we will calculate the prime factors of 55083 and 55101.

Prime Factorization of 55083

Prime Factorization of 55101

Now multiplying the highest exponent prime factors to calculate the LCM of 55083 and 55101.

LCM(55083,55101) = 3¹ × 7¹ × 43¹ × 61¹ × 18367¹
LCM(55083,55101) = 1011709461