What is the Least Common Multiple of 96960 and 96974?

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 96960 and 96974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96960 and 96974, than apply into the LCM equation.

GCF(96960,96974) = 2
LCM(96960,96974) = ( 96960 × 96974) / 2
LCM(96960,96974) = 9402599040 / 2
LCM(96960,96974) = 4701299520

Least Common Multiple (LCM) of 96960 and 96974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96960 and 96974. First we will calculate the prime factors of 96960 and 96974.

Prime Factorization of 96960

Prime Factorization of 96974

Now multiplying the highest exponent prime factors to calculate the LCM of 96960 and 96974.

LCM(96960,96974) = 2⁶ × 3¹ × 5¹ × 101¹ × 48487¹
LCM(96960,96974) = 4701299520