What is the Least Common Multiple of 53930 and 53948?

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 53930 and 53948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53930 and 53948, than apply into the LCM equation.

GCF(53930,53948) = 2
LCM(53930,53948) = ( 53930 × 53948) / 2
LCM(53930,53948) = 2909415640 / 2
LCM(53930,53948) = 1454707820

Least Common Multiple (LCM) of 53930 and 53948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53930 and 53948. First we will calculate the prime factors of 53930 and 53948.

Prime Factorization of 53930

Prime Factorization of 53948

Now multiplying the highest exponent prime factors to calculate the LCM of 53930 and 53948.

LCM(53930,53948) = 2² × 5¹ × 5393¹ × 13487¹
LCM(53930,53948) = 1454707820