What is the Least Common Multiple of 52941 and 52954?

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 52941 and 52954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52941 and 52954, than apply into the LCM equation.

GCF(52941,52954) = 1
LCM(52941,52954) = ( 52941 × 52954) / 1
LCM(52941,52954) = 2803437714 / 1
LCM(52941,52954) = 2803437714

Least Common Multiple (LCM) of 52941 and 52954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52941 and 52954. First we will calculate the prime factors of 52941 and 52954.

Prime Factorization of 52941

Prime Factorization of 52954

Now multiplying the highest exponent prime factors to calculate the LCM of 52941 and 52954.

LCM(52941,52954) = 3¹ × 7¹ × 2521¹ × 2¹ × 11¹ × 29¹ × 83¹
LCM(52941,52954) = 2803437714