What is the Least Common Multiple of 35948 and 35957?

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 35948 and 35957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35948 and 35957, than apply into the LCM equation.

GCF(35948,35957) = 1
LCM(35948,35957) = ( 35948 × 35957) / 1
LCM(35948,35957) = 1292582236 / 1
LCM(35948,35957) = 1292582236

Least Common Multiple (LCM) of 35948 and 35957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35948 and 35957. First we will calculate the prime factors of 35948 and 35957.

Prime Factorization of 35948

Prime Factorization of 35957

Now multiplying the highest exponent prime factors to calculate the LCM of 35948 and 35957.

LCM(35948,35957) = 2² × 11¹ × 19¹ × 43¹ × 41¹ × 877¹
LCM(35948,35957) = 1292582236