What is the Least Common Multiple of 67750 and 67754?

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 67750 and 67754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67750 and 67754, than apply into the LCM equation.

GCF(67750,67754) = 2
LCM(67750,67754) = ( 67750 × 67754) / 2
LCM(67750,67754) = 4590333500 / 2
LCM(67750,67754) = 2295166750

Least Common Multiple (LCM) of 67750 and 67754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67750 and 67754. First we will calculate the prime factors of 67750 and 67754.

Prime Factorization of 67750

Prime Factorization of 67754

Now multiplying the highest exponent prime factors to calculate the LCM of 67750 and 67754.

LCM(67750,67754) = 2¹ × 5³ × 271¹ × 19¹ × 1783¹
LCM(67750,67754) = 2295166750