What is the Least Common Multiple of 28816 and 28834?

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 28816 and 28834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28816 and 28834, than apply into the LCM equation.

GCF(28816,28834) = 2
LCM(28816,28834) = ( 28816 × 28834) / 2
LCM(28816,28834) = 830880544 / 2
LCM(28816,28834) = 415440272

Least Common Multiple (LCM) of 28816 and 28834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28816 and 28834. First we will calculate the prime factors of 28816 and 28834.

Prime Factorization of 28816

Prime Factorization of 28834

Now multiplying the highest exponent prime factors to calculate the LCM of 28816 and 28834.

LCM(28816,28834) = 2⁴ × 1801¹ × 13¹ × 1109¹
LCM(28816,28834) = 415440272