What is the Least Common Multiple of 96946 and 96960?

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 96946 and 96960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96946 and 96960, than apply into the LCM equation.

GCF(96946,96960) = 2
LCM(96946,96960) = ( 96946 × 96960) / 2
LCM(96946,96960) = 9399884160 / 2
LCM(96946,96960) = 4699942080

Least Common Multiple (LCM) of 96946 and 96960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96946 and 96960. First we will calculate the prime factors of 96946 and 96960.

Prime Factorization of 96946

Prime Factorization of 96960

Now multiplying the highest exponent prime factors to calculate the LCM of 96946 and 96960.

LCM(96946,96960) = 2⁶ × 48473¹ × 3¹ × 5¹ × 101¹
LCM(96946,96960) = 4699942080