What is the Least Common Multiple of 60946 and 60954?

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 60946 and 60954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60946 and 60954, than apply into the LCM equation.

GCF(60946,60954) = 2
LCM(60946,60954) = ( 60946 × 60954) / 2
LCM(60946,60954) = 3714902484 / 2
LCM(60946,60954) = 1857451242

Least Common Multiple (LCM) of 60946 and 60954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60946 and 60954. First we will calculate the prime factors of 60946 and 60954.

Prime Factorization of 60946

Prime Factorization of 60954

Now multiplying the highest exponent prime factors to calculate the LCM of 60946 and 60954.

LCM(60946,60954) = 2¹ × 31¹ × 983¹ × 3¹ × 10159¹
LCM(60946,60954) = 1857451242