What is the Least Common Multiple of 52609 and 52621?

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 52609 and 52621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52609 and 52621, than apply into the LCM equation.

GCF(52609,52621) = 1
LCM(52609,52621) = ( 52609 × 52621) / 1
LCM(52609,52621) = 2768338189 / 1
LCM(52609,52621) = 2768338189

Least Common Multiple (LCM) of 52609 and 52621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52609 and 52621. First we will calculate the prime factors of 52609 and 52621.

Prime Factorization of 52609

Prime Factorization of 52621

Now multiplying the highest exponent prime factors to calculate the LCM of 52609 and 52621.

LCM(52609,52621) = 52609¹ × 101¹ × 521¹
LCM(52609,52621) = 2768338189