GCF and LCM Calculator Logo

What is the Least Common Multiple of 30947 and 30954?

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 (LCM) of 30947 and 30954 is 136847634.

LCM(30947,30954) = 136847634

LCM Calculator and
and

Least Common Multiple of 30947 and 30954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30947 and 30954, than apply into the LCM equation.

GCF(30947,30954) = 7
LCM(30947,30954) = ( 30947 × 30954) / 7
LCM(30947,30954) = 957933438 / 7
LCM(30947,30954) = 136847634

Least Common Multiple (LCM) of 30947 and 30954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30947 and 30954. First we will calculate the prime factors of 30947 and 30954.

Prime Factorization of 30947

Prime factors of 30947 are 7, 4421. Prime factorization of 30947 in exponential form is:

30947 = 71 × 44211

Prime Factorization of 30954

Prime factors of 30954 are 2, 3, 7, 11, 67. Prime factorization of 30954 in exponential form is:

30954 = 21 × 31 × 71 × 111 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 30947 and 30954.

LCM(30947,30954) = 71 × 44211 × 21 × 31 × 111 × 671
LCM(30947,30954) = 136847634