What is the Least Common Multiple of 30544 and 30562?

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 30544 and 30562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30544 and 30562, than apply into the LCM equation.

GCF(30544,30562) = 2
LCM(30544,30562) = ( 30544 × 30562) / 2
LCM(30544,30562) = 933485728 / 2
LCM(30544,30562) = 466742864

Least Common Multiple (LCM) of 30544 and 30562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30544 and 30562. First we will calculate the prime factors of 30544 and 30562.

Prime Factorization of 30544

Prime Factorization of 30562

Now multiplying the highest exponent prime factors to calculate the LCM of 30544 and 30562.

LCM(30544,30562) = 2⁴ × 23¹ × 83¹ × 7¹ × 37¹ × 59¹
LCM(30544,30562) = 466742864