GCF and LCM Calculator Logo

What is the Least Common Multiple of 30978 and 30993?

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 30978 and 30993 is 320033718.

LCM(30978,30993) = 320033718

LCM Calculator and
and

Least Common Multiple of 30978 and 30993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30978 and 30993, than apply into the LCM equation.

GCF(30978,30993) = 3
LCM(30978,30993) = ( 30978 × 30993) / 3
LCM(30978,30993) = 960101154 / 3
LCM(30978,30993) = 320033718

Least Common Multiple (LCM) of 30978 and 30993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30978 and 30993. First we will calculate the prime factors of 30978 and 30993.

Prime Factorization of 30978

Prime factors of 30978 are 2, 3, 1721. Prime factorization of 30978 in exponential form is:

30978 = 21 × 32 × 17211

Prime Factorization of 30993

Prime factors of 30993 are 3, 10331. Prime factorization of 30993 in exponential form is:

30993 = 31 × 103311

Now multiplying the highest exponent prime factors to calculate the LCM of 30978 and 30993.

LCM(30978,30993) = 21 × 32 × 17211 × 103311
LCM(30978,30993) = 320033718