What is the Least Common Multiple of 42555 and 42565?

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 42555 and 42565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42555 and 42565, than apply into the LCM equation.

GCF(42555,42565) = 5
LCM(42555,42565) = ( 42555 × 42565) / 5
LCM(42555,42565) = 1811353575 / 5
LCM(42555,42565) = 362270715

Least Common Multiple (LCM) of 42555 and 42565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42555 and 42565. First we will calculate the prime factors of 42555 and 42565.

Prime Factorization of 42555

Prime Factorization of 42565

Now multiplying the highest exponent prime factors to calculate the LCM of 42555 and 42565.

LCM(42555,42565) = 3¹ × 5¹ × 2837¹ × 8513¹
LCM(42555,42565) = 362270715