What is the Least Common Multiple of 10670 and 10688?

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 10670 and 10688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10670 and 10688, than apply into the LCM equation.

GCF(10670,10688) = 2
LCM(10670,10688) = ( 10670 × 10688) / 2
LCM(10670,10688) = 114040960 / 2
LCM(10670,10688) = 57020480

Least Common Multiple (LCM) of 10670 and 10688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10670 and 10688. First we will calculate the prime factors of 10670 and 10688.

Prime Factorization of 10670

Prime Factorization of 10688

Now multiplying the highest exponent prime factors to calculate the LCM of 10670 and 10688.

LCM(10670,10688) = 2⁶ × 5¹ × 11¹ × 97¹ × 167¹
LCM(10670,10688) = 57020480