What is the Least Common Multiple of 11674 and 11688?

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 11674 and 11688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11674 and 11688, than apply into the LCM equation.

GCF(11674,11688) = 2
LCM(11674,11688) = ( 11674 × 11688) / 2
LCM(11674,11688) = 136445712 / 2
LCM(11674,11688) = 68222856

Least Common Multiple (LCM) of 11674 and 11688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11674 and 11688. First we will calculate the prime factors of 11674 and 11688.

Prime Factorization of 11674

Prime Factorization of 11688

Now multiplying the highest exponent prime factors to calculate the LCM of 11674 and 11688.

LCM(11674,11688) = 2³ × 13¹ × 449¹ × 3¹ × 487¹
LCM(11674,11688) = 68222856