GCF and LCM Calculator Logo

What is the Least Common Multiple of 30697 and 30714?

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 30697 and 30714 is 942827658.

LCM(30697,30714) = 942827658

LCM Calculator and
and

Least Common Multiple of 30697 and 30714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30697 and 30714, than apply into the LCM equation.

GCF(30697,30714) = 1
LCM(30697,30714) = ( 30697 × 30714) / 1
LCM(30697,30714) = 942827658 / 1
LCM(30697,30714) = 942827658

Least Common Multiple (LCM) of 30697 and 30714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30697 and 30714. First we will calculate the prime factors of 30697 and 30714.

Prime Factorization of 30697

Prime factors of 30697 are 30697. Prime factorization of 30697 in exponential form is:

30697 = 306971

Prime Factorization of 30714

Prime factors of 30714 are 2, 3, 5119. Prime factorization of 30714 in exponential form is:

30714 = 21 × 31 × 51191

Now multiplying the highest exponent prime factors to calculate the LCM of 30697 and 30714.

LCM(30697,30714) = 306971 × 21 × 31 × 51191
LCM(30697,30714) = 942827658