What is the Least Common Multiple of 42560 and 42566?

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 42560 and 42566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42560 and 42566, than apply into the LCM equation.

GCF(42560,42566) = 2
LCM(42560,42566) = ( 42560 × 42566) / 2
LCM(42560,42566) = 1811608960 / 2
LCM(42560,42566) = 905804480

Least Common Multiple (LCM) of 42560 and 42566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42560 and 42566. First we will calculate the prime factors of 42560 and 42566.

Prime Factorization of 42560

Prime Factorization of 42566

Now multiplying the highest exponent prime factors to calculate the LCM of 42560 and 42566.

LCM(42560,42566) = 2⁶ × 5¹ × 7¹ × 19¹ × 21283¹
LCM(42560,42566) = 905804480