What is the Least Common Multiple of 35380 and 35396?

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 35380 and 35396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35380 and 35396, than apply into the LCM equation.

GCF(35380,35396) = 4
LCM(35380,35396) = ( 35380 × 35396) / 4
LCM(35380,35396) = 1252310480 / 4
LCM(35380,35396) = 313077620

Least Common Multiple (LCM) of 35380 and 35396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35380 and 35396. First we will calculate the prime factors of 35380 and 35396.

Prime Factorization of 35380

Prime Factorization of 35396

Now multiplying the highest exponent prime factors to calculate the LCM of 35380 and 35396.

LCM(35380,35396) = 2² × 5¹ × 29¹ × 61¹ × 8849¹
LCM(35380,35396) = 313077620