GCF and LCM Calculator Logo

What is the Least Common Multiple of 30700 and 30708?

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 30700 and 30708 is 235683900.

LCM(30700,30708) = 235683900

LCM Calculator and
and

Least Common Multiple of 30700 and 30708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30700 and 30708, than apply into the LCM equation.

GCF(30700,30708) = 4
LCM(30700,30708) = ( 30700 × 30708) / 4
LCM(30700,30708) = 942735600 / 4
LCM(30700,30708) = 235683900

Least Common Multiple (LCM) of 30700 and 30708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30700 and 30708. First we will calculate the prime factors of 30700 and 30708.

Prime Factorization of 30700

Prime factors of 30700 are 2, 5, 307. Prime factorization of 30700 in exponential form is:

30700 = 22 × 52 × 3071

Prime Factorization of 30708

Prime factors of 30708 are 2, 3, 853. Prime factorization of 30708 in exponential form is:

30708 = 22 × 32 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 30700 and 30708.

LCM(30700,30708) = 22 × 52 × 3071 × 32 × 8531
LCM(30700,30708) = 235683900