What is the Least Common Multiple of 57828 and 57844?

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 57828 and 57844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57828 and 57844, than apply into the LCM equation.

GCF(57828,57844) = 4
LCM(57828,57844) = ( 57828 × 57844) / 4
LCM(57828,57844) = 3345002832 / 4
LCM(57828,57844) = 836250708

Least Common Multiple (LCM) of 57828 and 57844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57828 and 57844. First we will calculate the prime factors of 57828 and 57844.

Prime Factorization of 57828

Prime Factorization of 57844

Now multiplying the highest exponent prime factors to calculate the LCM of 57828 and 57844.

LCM(57828,57844) = 2² × 3¹ × 61¹ × 79¹ × 14461¹
LCM(57828,57844) = 836250708