What is the Least Common Multiple of 42544 and 42552?

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 42544 and 42552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42544 and 42552, than apply into the LCM equation.

GCF(42544,42552) = 8
LCM(42544,42552) = ( 42544 × 42552) / 8
LCM(42544,42552) = 1810332288 / 8
LCM(42544,42552) = 226291536

Least Common Multiple (LCM) of 42544 and 42552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42544 and 42552. First we will calculate the prime factors of 42544 and 42552.

Prime Factorization of 42544

Prime Factorization of 42552

Now multiplying the highest exponent prime factors to calculate the LCM of 42544 and 42552.

LCM(42544,42552) = 2⁴ × 2659¹ × 3³ × 197¹
LCM(42544,42552) = 226291536