What is the Least Common Multiple of 42552 and 42559?

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 42552 and 42559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42552 and 42559, than apply into the LCM equation.

GCF(42552,42559) = 1
LCM(42552,42559) = ( 42552 × 42559) / 1
LCM(42552,42559) = 1810970568 / 1
LCM(42552,42559) = 1810970568

Least Common Multiple (LCM) of 42552 and 42559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42552 and 42559. First we will calculate the prime factors of 42552 and 42559.

Prime Factorization of 42552

Prime Factorization of 42559

Now multiplying the highest exponent prime factors to calculate the LCM of 42552 and 42559.

LCM(42552,42559) = 2³ × 3³ × 197¹ × 11¹ × 53¹ × 73¹
LCM(42552,42559) = 1810970568