What is the Least Common Multiple of 42750 and 42768?

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 42750 and 42768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42750 and 42768, than apply into the LCM equation.

GCF(42750,42768) = 18
LCM(42750,42768) = ( 42750 × 42768) / 18
LCM(42750,42768) = 1828332000 / 18
LCM(42750,42768) = 101574000

Least Common Multiple (LCM) of 42750 and 42768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42750 and 42768. First we will calculate the prime factors of 42750 and 42768.

Prime Factorization of 42750

Prime Factorization of 42768

Now multiplying the highest exponent prime factors to calculate the LCM of 42750 and 42768.

LCM(42750,42768) = 2⁴ × 3⁵ × 5³ × 19¹ × 11¹
LCM(42750,42768) = 101574000