What is the Least Common Multiple of 28814 and 28820?

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 28814 and 28820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28814 and 28820, than apply into the LCM equation.

GCF(28814,28820) = 2
LCM(28814,28820) = ( 28814 × 28820) / 2
LCM(28814,28820) = 830419480 / 2
LCM(28814,28820) = 415209740

Least Common Multiple (LCM) of 28814 and 28820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28814 and 28820. First we will calculate the prime factors of 28814 and 28820.

Prime Factorization of 28814

Prime Factorization of 28820

Now multiplying the highest exponent prime factors to calculate the LCM of 28814 and 28820.

LCM(28814,28820) = 2² × 14407¹ × 5¹ × 11¹ × 131¹
LCM(28814,28820) = 415209740