What is the Least Common Multiple of 27628 and 27638?

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 27628 and 27638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27628 and 27638, than apply into the LCM equation.

GCF(27628,27638) = 2
LCM(27628,27638) = ( 27628 × 27638) / 2
LCM(27628,27638) = 763582664 / 2
LCM(27628,27638) = 381791332

Least Common Multiple (LCM) of 27628 and 27638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27628 and 27638. First we will calculate the prime factors of 27628 and 27638.

Prime Factorization of 27628

Prime Factorization of 27638

Now multiplying the highest exponent prime factors to calculate the LCM of 27628 and 27638.

LCM(27628,27638) = 2² × 6907¹ × 13¹ × 1063¹
LCM(27628,27638) = 381791332