What is the Least Common Multiple of 67935 and 67944?

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 67935 and 67944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67935 and 67944, than apply into the LCM equation.

GCF(67935,67944) = 3
LCM(67935,67944) = ( 67935 × 67944) / 3
LCM(67935,67944) = 4615775640 / 3
LCM(67935,67944) = 1538591880

Least Common Multiple (LCM) of 67935 and 67944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67935 and 67944. First we will calculate the prime factors of 67935 and 67944.

Prime Factorization of 67935

Prime Factorization of 67944

Now multiplying the highest exponent prime factors to calculate the LCM of 67935 and 67944.

LCM(67935,67944) = 3¹ × 5¹ × 7¹ × 647¹ × 2³ × 19¹ × 149¹
LCM(67935,67944) = 1538591880