What is the Least Common Multiple of 42636 and 42649?

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 42636 and 42649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42636 and 42649, than apply into the LCM equation.

GCF(42636,42649) = 1
LCM(42636,42649) = ( 42636 × 42649) / 1
LCM(42636,42649) = 1818382764 / 1
LCM(42636,42649) = 1818382764

Least Common Multiple (LCM) of 42636 and 42649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42636 and 42649. First we will calculate the prime factors of 42636 and 42649.

Prime Factorization of 42636

Prime Factorization of 42649

Now multiplying the highest exponent prime factors to calculate the LCM of 42636 and 42649.

LCM(42636,42649) = 2² × 3¹ × 11¹ × 17¹ × 19¹ × 42649¹
LCM(42636,42649) = 1818382764