What is the Least Common Multiple of 67984 and 68004?

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 67984 and 68004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67984 and 68004, than apply into the LCM equation.

GCF(67984,68004) = 4
LCM(67984,68004) = ( 67984 × 68004) / 4
LCM(67984,68004) = 4623183936 / 4
LCM(67984,68004) = 1155795984

Least Common Multiple (LCM) of 67984 and 68004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67984 and 68004. First we will calculate the prime factors of 67984 and 68004.

Prime Factorization of 67984

Prime Factorization of 68004

Now multiplying the highest exponent prime factors to calculate the LCM of 67984 and 68004.

LCM(67984,68004) = 2⁴ × 7¹ × 607¹ × 3² × 1889¹
LCM(67984,68004) = 1155795984