What is the Least Common Multiple of 5654 and 5672?

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 5672 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 5672, than apply into the LCM equation.

GCF(5654,5672) = 2
LCM(5654,5672) = ( 5654 × 5672) / 2
LCM(5654,5672) = 32069488 / 2
LCM(5654,5672) = 16034744

Least Common Multiple (LCM) of 5654 and 5672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5654 and 5672. First we will calculate the prime factors of 5654 and 5672.

Prime Factorization of 5654

Prime Factorization of 5672

Now multiplying the highest exponent prime factors to calculate the LCM of 5654 and 5672.

LCM(5654,5672) = 2³ × 11¹ × 257¹ × 709¹
LCM(5654,5672) = 16034744