What is the Least Common Multiple of 57930 and 57948?

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 57930 and 57948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57930 and 57948, than apply into the LCM equation.

GCF(57930,57948) = 6
LCM(57930,57948) = ( 57930 × 57948) / 6
LCM(57930,57948) = 3356927640 / 6
LCM(57930,57948) = 559487940

Least Common Multiple (LCM) of 57930 and 57948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57930 and 57948. First we will calculate the prime factors of 57930 and 57948.

Prime Factorization of 57930

Prime Factorization of 57948

Now multiplying the highest exponent prime factors to calculate the LCM of 57930 and 57948.

LCM(57930,57948) = 2² × 3¹ × 5¹ × 1931¹ × 11¹ × 439¹
LCM(57930,57948) = 559487940