What is the Least Common Multiple of 42536 and 42554?

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 42536 and 42554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42536 and 42554, than apply into the LCM equation.

GCF(42536,42554) = 2
LCM(42536,42554) = ( 42536 × 42554) / 2
LCM(42536,42554) = 1810076944 / 2
LCM(42536,42554) = 905038472

Least Common Multiple (LCM) of 42536 and 42554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42536 and 42554. First we will calculate the prime factors of 42536 and 42554.

Prime Factorization of 42536

Prime Factorization of 42554

Now multiplying the highest exponent prime factors to calculate the LCM of 42536 and 42554.

LCM(42536,42554) = 2³ × 13¹ × 409¹ × 21277¹
LCM(42536,42554) = 905038472