What is the Least Common Multiple of 42617 and 42636?

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 42617 and 42636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42617 and 42636, than apply into the LCM equation.

GCF(42617,42636) = 19
LCM(42617,42636) = ( 42617 × 42636) / 19
LCM(42617,42636) = 1817018412 / 19
LCM(42617,42636) = 95632548

Least Common Multiple (LCM) of 42617 and 42636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42617 and 42636. First we will calculate the prime factors of 42617 and 42636.

Prime Factorization of 42617

Prime Factorization of 42636

Now multiplying the highest exponent prime factors to calculate the LCM of 42617 and 42636.

LCM(42617,42636) = 19¹ × 2243¹ × 2² × 3¹ × 11¹ × 17¹
LCM(42617,42636) = 95632548