What is the Least Common Multiple of 68940 and 68954?

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 68940 and 68954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68940 and 68954, than apply into the LCM equation.

GCF(68940,68954) = 2
LCM(68940,68954) = ( 68940 × 68954) / 2
LCM(68940,68954) = 4753688760 / 2
LCM(68940,68954) = 2376844380

Least Common Multiple (LCM) of 68940 and 68954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68940 and 68954. First we will calculate the prime factors of 68940 and 68954.

Prime Factorization of 68940

Prime Factorization of 68954

Now multiplying the highest exponent prime factors to calculate the LCM of 68940 and 68954.

LCM(68940,68954) = 2² × 3² × 5¹ × 383¹ × 23¹ × 1499¹
LCM(68940,68954) = 2376844380