What is the Least Common Multiple of 5654 and 5668?

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 5654 and 5668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5654 and 5668, than apply into the LCM equation.

GCF(5654,5668) = 2
LCM(5654,5668) = ( 5654 × 5668) / 2
LCM(5654,5668) = 32046872 / 2
LCM(5654,5668) = 16023436

Least Common Multiple (LCM) of 5654 and 5668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5654 and 5668. First we will calculate the prime factors of 5654 and 5668.

Prime Factorization of 5654

Prime Factorization of 5668

Now multiplying the highest exponent prime factors to calculate the LCM of 5654 and 5668.

LCM(5654,5668) = 2² × 11¹ × 257¹ × 13¹ × 109¹
LCM(5654,5668) = 16023436