What is the Least Common Multiple of 35948 and 35962?

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 35962 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 35962, than apply into the LCM equation.

GCF(35948,35962) = 2
LCM(35948,35962) = ( 35948 × 35962) / 2
LCM(35948,35962) = 1292761976 / 2
LCM(35948,35962) = 646380988

Least Common Multiple (LCM) of 35948 and 35962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35948 and 35962. First we will calculate the prime factors of 35948 and 35962.

Prime Factorization of 35948

Prime Factorization of 35962

Now multiplying the highest exponent prime factors to calculate the LCM of 35948 and 35962.

LCM(35948,35962) = 2² × 11¹ × 19¹ × 43¹ × 17981¹
LCM(35948,35962) = 646380988