What is the Least Common Multiple of 67944 and 67960?

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 67944 and 67960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67944 and 67960, than apply into the LCM equation.

GCF(67944,67960) = 8
LCM(67944,67960) = ( 67944 × 67960) / 8
LCM(67944,67960) = 4617474240 / 8
LCM(67944,67960) = 577184280

Least Common Multiple (LCM) of 67944 and 67960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67944 and 67960. First we will calculate the prime factors of 67944 and 67960.

Prime Factorization of 67944

Prime Factorization of 67960

Now multiplying the highest exponent prime factors to calculate the LCM of 67944 and 67960.

LCM(67944,67960) = 2³ × 3¹ × 19¹ × 149¹ × 5¹ × 1699¹
LCM(67944,67960) = 577184280