What is the Least Common Multiple of 55452 and 55461?

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 55452 and 55461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55452 and 55461, than apply into the LCM equation.

GCF(55452,55461) = 3
LCM(55452,55461) = ( 55452 × 55461) / 3
LCM(55452,55461) = 3075423372 / 3
LCM(55452,55461) = 1025141124

Least Common Multiple (LCM) of 55452 and 55461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55452 and 55461. First we will calculate the prime factors of 55452 and 55461.

Prime Factorization of 55452

Prime Factorization of 55461

Now multiplying the highest exponent prime factors to calculate the LCM of 55452 and 55461.

LCM(55452,55461) = 2² × 3¹ × 4621¹ × 7¹ × 19¹ × 139¹
LCM(55452,55461) = 1025141124