What is the Least Common Multiple of 39676 and 39689?

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 39676 and 39689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39676 and 39689, than apply into the LCM equation.

GCF(39676,39689) = 13
LCM(39676,39689) = ( 39676 × 39689) / 13
LCM(39676,39689) = 1574700764 / 13
LCM(39676,39689) = 121130828

Least Common Multiple (LCM) of 39676 and 39689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39676 and 39689. First we will calculate the prime factors of 39676 and 39689.

Prime Factorization of 39676

Prime Factorization of 39689

Now multiplying the highest exponent prime factors to calculate the LCM of 39676 and 39689.

LCM(39676,39689) = 2² × 7¹ × 13¹ × 109¹ × 43¹ × 71¹
LCM(39676,39689) = 121130828