GCF and LCM Calculator Logo

What is the Least Common Multiple of 30890 and 30906?

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 30890 and 30906 is 477343170.

LCM(30890,30906) = 477343170

LCM Calculator and
and

Least Common Multiple of 30890 and 30906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30890 and 30906, than apply into the LCM equation.

GCF(30890,30906) = 2
LCM(30890,30906) = ( 30890 × 30906) / 2
LCM(30890,30906) = 954686340 / 2
LCM(30890,30906) = 477343170

Least Common Multiple (LCM) of 30890 and 30906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30890 and 30906. First we will calculate the prime factors of 30890 and 30906.

Prime Factorization of 30890

Prime factors of 30890 are 2, 5, 3089. Prime factorization of 30890 in exponential form is:

30890 = 21 × 51 × 30891

Prime Factorization of 30906

Prime factors of 30906 are 2, 3, 17, 101. Prime factorization of 30906 in exponential form is:

30906 = 21 × 32 × 171 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 30890 and 30906.

LCM(30890,30906) = 21 × 51 × 30891 × 32 × 171 × 1011
LCM(30890,30906) = 477343170