What is the Least Common Multiple of 67992 and 68010?

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 67992 and 68010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67992 and 68010, than apply into the LCM equation.

GCF(67992,68010) = 6
LCM(67992,68010) = ( 67992 × 68010) / 6
LCM(67992,68010) = 4624135920 / 6
LCM(67992,68010) = 770689320

Least Common Multiple (LCM) of 67992 and 68010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67992 and 68010. First we will calculate the prime factors of 67992 and 68010.

Prime Factorization of 67992

Prime Factorization of 68010

Now multiplying the highest exponent prime factors to calculate the LCM of 67992 and 68010.

LCM(67992,68010) = 2³ × 3¹ × 2833¹ × 5¹ × 2267¹
LCM(67992,68010) = 770689320