What is the Least Common Multiple of 34696 and 34713?

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 34696 and 34713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34696 and 34713, than apply into the LCM equation.

GCF(34696,34713) = 1
LCM(34696,34713) = ( 34696 × 34713) / 1
LCM(34696,34713) = 1204402248 / 1
LCM(34696,34713) = 1204402248

Least Common Multiple (LCM) of 34696 and 34713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34696 and 34713. First we will calculate the prime factors of 34696 and 34713.

Prime Factorization of 34696

Prime Factorization of 34713

Now multiplying the highest exponent prime factors to calculate the LCM of 34696 and 34713.

LCM(34696,34713) = 2³ × 4337¹ × 3² × 7¹ × 19¹ × 29¹
LCM(34696,34713) = 1204402248