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 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 Factorization of 30708

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