What is the Least Common Multiple of 52975 and 52981?

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 52975 and 52981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52975 and 52981, than apply into the LCM equation.

GCF(52975,52981) = 1
LCM(52975,52981) = ( 52975 × 52981) / 1
LCM(52975,52981) = 2806668475 / 1
LCM(52975,52981) = 2806668475

Least Common Multiple (LCM) of 52975 and 52981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52975 and 52981. First we will calculate the prime factors of 52975 and 52981.

Prime Factorization of 52975

Prime Factorization of 52981

Now multiplying the highest exponent prime factors to calculate the LCM of 52975 and 52981.

LCM(52975,52981) = 5² × 13¹ × 163¹ × 52981¹
LCM(52975,52981) = 2806668475