What is the Least Common Multiple of 67914 and 67920?

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 67914 and 67920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67914 and 67920, than apply into the LCM equation.

GCF(67914,67920) = 6
LCM(67914,67920) = ( 67914 × 67920) / 6
LCM(67914,67920) = 4612718880 / 6
LCM(67914,67920) = 768786480

Least Common Multiple (LCM) of 67914 and 67920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67914 and 67920. First we will calculate the prime factors of 67914 and 67920.

Prime Factorization of 67914

Prime Factorization of 67920

Now multiplying the highest exponent prime factors to calculate the LCM of 67914 and 67920.

LCM(67914,67920) = 2⁴ × 3² × 7³ × 11¹ × 5¹ × 283¹
LCM(67914,67920) = 768786480