What is the Least Common Multiple of 68960 and 68974?

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 68960 and 68974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68960 and 68974, than apply into the LCM equation.

GCF(68960,68974) = 2
LCM(68960,68974) = ( 68960 × 68974) / 2
LCM(68960,68974) = 4756447040 / 2
LCM(68960,68974) = 2378223520

Least Common Multiple (LCM) of 68960 and 68974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68960 and 68974. First we will calculate the prime factors of 68960 and 68974.

Prime Factorization of 68960

Prime Factorization of 68974

Now multiplying the highest exponent prime factors to calculate the LCM of 68960 and 68974.

LCM(68960,68974) = 2⁵ × 5¹ × 431¹ × 34487¹
LCM(68960,68974) = 2378223520