What is the Least Common Multiple of 30646 and 30658?

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 30646 and 30658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30646 and 30658, than apply into the LCM equation.

GCF(30646,30658) = 2
LCM(30646,30658) = ( 30646 × 30658) / 2
LCM(30646,30658) = 939545068 / 2
LCM(30646,30658) = 469772534

Least Common Multiple (LCM) of 30646 and 30658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30646 and 30658. First we will calculate the prime factors of 30646 and 30658.

Prime Factorization of 30646

Prime Factorization of 30658

Now multiplying the highest exponent prime factors to calculate the LCM of 30646 and 30658.

LCM(30646,30658) = 2¹ × 7¹ × 11¹ × 199¹ × 15329¹
LCM(30646,30658) = 469772534