GCF and LCM Calculator Logo

What is the Least Common Multiple of 30654 and 30662?

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 30654 and 30662 is 469956474.

LCM(30654,30662) = 469956474

LCM Calculator and
and

Least Common Multiple of 30654 and 30662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30654 and 30662, than apply into the LCM equation.

GCF(30654,30662) = 2
LCM(30654,30662) = ( 30654 × 30662) / 2
LCM(30654,30662) = 939912948 / 2
LCM(30654,30662) = 469956474

Least Common Multiple (LCM) of 30654 and 30662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30654 and 30662. First we will calculate the prime factors of 30654 and 30662.

Prime Factorization of 30654

Prime factors of 30654 are 2, 3, 13, 131. Prime factorization of 30654 in exponential form is:

30654 = 21 × 32 × 131 × 1311

Prime Factorization of 30662

Prime factors of 30662 are 2, 15331. Prime factorization of 30662 in exponential form is:

30662 = 21 × 153311

Now multiplying the highest exponent prime factors to calculate the LCM of 30654 and 30662.

LCM(30654,30662) = 21 × 32 × 131 × 1311 × 153311
LCM(30654,30662) = 469956474