What is the Least Common Multiple of 20535 and 20549?

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 20535 and 20549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20535 and 20549, than apply into the LCM equation.

GCF(20535,20549) = 1
LCM(20535,20549) = ( 20535 × 20549) / 1
LCM(20535,20549) = 421973715 / 1
LCM(20535,20549) = 421973715

Least Common Multiple (LCM) of 20535 and 20549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20535 and 20549. First we will calculate the prime factors of 20535 and 20549.

Prime Factorization of 20535

Prime Factorization of 20549

Now multiplying the highest exponent prime factors to calculate the LCM of 20535 and 20549.

LCM(20535,20549) = 3¹ × 5¹ × 37² × 20549¹
LCM(20535,20549) = 421973715