What is the Least Common Multiple of 42609 and 42616?

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 42609 and 42616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42609 and 42616, than apply into the LCM equation.

GCF(42609,42616) = 7
LCM(42609,42616) = ( 42609 × 42616) / 7
LCM(42609,42616) = 1815825144 / 7
LCM(42609,42616) = 259403592

Least Common Multiple (LCM) of 42609 and 42616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42609 and 42616. First we will calculate the prime factors of 42609 and 42616.

Prime Factorization of 42609

Prime Factorization of 42616

Now multiplying the highest exponent prime factors to calculate the LCM of 42609 and 42616.

LCM(42609,42616) = 3¹ × 7¹ × 2029¹ × 2³ × 761¹
LCM(42609,42616) = 259403592