What is the Least Common Multiple of 83950 and 83968?

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 83950 and 83968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83950 and 83968, than apply into the LCM equation.

GCF(83950,83968) = 2
LCM(83950,83968) = ( 83950 × 83968) / 2
LCM(83950,83968) = 7049113600 / 2
LCM(83950,83968) = 3524556800

Least Common Multiple (LCM) of 83950 and 83968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83950 and 83968. First we will calculate the prime factors of 83950 and 83968.

Prime Factorization of 83950

Prime Factorization of 83968

Now multiplying the highest exponent prime factors to calculate the LCM of 83950 and 83968.

LCM(83950,83968) = 2¹¹ × 5² × 23¹ × 73¹ × 41¹
LCM(83950,83968) = 3524556800