What is the Least Common Multiple of 40348 and 40354?

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 40348 and 40354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40348 and 40354, than apply into the LCM equation.

GCF(40348,40354) = 2
LCM(40348,40354) = ( 40348 × 40354) / 2
LCM(40348,40354) = 1628203192 / 2
LCM(40348,40354) = 814101596

Least Common Multiple (LCM) of 40348 and 40354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40348 and 40354. First we will calculate the prime factors of 40348 and 40354.

Prime Factorization of 40348

Prime Factorization of 40354

Now multiplying the highest exponent prime factors to calculate the LCM of 40348 and 40354.

LCM(40348,40354) = 2² × 7¹ × 11¹ × 131¹ × 20177¹
LCM(40348,40354) = 814101596