What is the Least Common Multiple of 96945 and 96950?

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 96945 and 96950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96945 and 96950, than apply into the LCM equation.

GCF(96945,96950) = 5
LCM(96945,96950) = ( 96945 × 96950) / 5
LCM(96945,96950) = 9398817750 / 5
LCM(96945,96950) = 1879763550

Least Common Multiple (LCM) of 96945 and 96950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96945 and 96950. First we will calculate the prime factors of 96945 and 96950.

Prime Factorization of 96945

Prime Factorization of 96950

Now multiplying the highest exponent prime factors to calculate the LCM of 96945 and 96950.

LCM(96945,96950) = 3¹ × 5² × 23¹ × 281¹ × 2¹ × 7¹ × 277¹
LCM(96945,96950) = 1879763550