What is the Least Common Multiple of 70944 and 70960?

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 70944 and 70960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70944 and 70960, than apply into the LCM equation.

GCF(70944,70960) = 16
LCM(70944,70960) = ( 70944 × 70960) / 16
LCM(70944,70960) = 5034186240 / 16
LCM(70944,70960) = 314636640

Least Common Multiple (LCM) of 70944 and 70960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70944 and 70960. First we will calculate the prime factors of 70944 and 70960.

Prime Factorization of 70944

Prime Factorization of 70960

Now multiplying the highest exponent prime factors to calculate the LCM of 70944 and 70960.

LCM(70944,70960) = 2⁵ × 3¹ × 739¹ × 5¹ × 887¹
LCM(70944,70960) = 314636640