What is the Least Common Multiple of 42664 and 42680?

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 42664 and 42680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42664 and 42680, than apply into the LCM equation.

GCF(42664,42680) = 8
LCM(42664,42680) = ( 42664 × 42680) / 8
LCM(42664,42680) = 1820899520 / 8
LCM(42664,42680) = 227612440

Least Common Multiple (LCM) of 42664 and 42680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42664 and 42680. First we will calculate the prime factors of 42664 and 42680.

Prime Factorization of 42664

Prime Factorization of 42680

Now multiplying the highest exponent prime factors to calculate the LCM of 42664 and 42680.

LCM(42664,42680) = 2³ × 5333¹ × 5¹ × 11¹ × 97¹
LCM(42664,42680) = 227612440