What is the Least Common Multiple of 42656 and 42666?

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 42656 and 42666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42656 and 42666, than apply into the LCM equation.

GCF(42656,42666) = 2
LCM(42656,42666) = ( 42656 × 42666) / 2
LCM(42656,42666) = 1819960896 / 2
LCM(42656,42666) = 909980448

Least Common Multiple (LCM) of 42656 and 42666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42656 and 42666. First we will calculate the prime factors of 42656 and 42666.

Prime Factorization of 42656

Prime Factorization of 42666

Now multiplying the highest exponent prime factors to calculate the LCM of 42656 and 42666.

LCM(42656,42666) = 2⁵ × 31¹ × 43¹ × 3¹ × 13¹ × 547¹
LCM(42656,42666) = 909980448