What is the Least Common Multiple of 10654 and 10672?

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 10654 and 10672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10654 and 10672, than apply into the LCM equation.

GCF(10654,10672) = 2
LCM(10654,10672) = ( 10654 × 10672) / 2
LCM(10654,10672) = 113699488 / 2
LCM(10654,10672) = 56849744

Least Common Multiple (LCM) of 10654 and 10672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10654 and 10672. First we will calculate the prime factors of 10654 and 10672.

Prime Factorization of 10654

Prime Factorization of 10672

Now multiplying the highest exponent prime factors to calculate the LCM of 10654 and 10672.

LCM(10654,10672) = 2⁴ × 7¹ × 761¹ × 23¹ × 29¹
LCM(10654,10672) = 56849744