What is the Least Common Multiple of 20545 and 20552?

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 20545 and 20552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20545 and 20552, than apply into the LCM equation.

GCF(20545,20552) = 7
LCM(20545,20552) = ( 20545 × 20552) / 7
LCM(20545,20552) = 422240840 / 7
LCM(20545,20552) = 60320120

Least Common Multiple (LCM) of 20545 and 20552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20545 and 20552. First we will calculate the prime factors of 20545 and 20552.

Prime Factorization of 20545

Prime Factorization of 20552

Now multiplying the highest exponent prime factors to calculate the LCM of 20545 and 20552.

LCM(20545,20552) = 5¹ × 7¹ × 587¹ × 2³ × 367¹
LCM(20545,20552) = 60320120