What is the Least Common Multiple of 21546 and 21565?

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 21546 and 21565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21546 and 21565, than apply into the LCM equation.

GCF(21546,21565) = 19
LCM(21546,21565) = ( 21546 × 21565) / 19
LCM(21546,21565) = 464639490 / 19
LCM(21546,21565) = 24454710

Least Common Multiple (LCM) of 21546 and 21565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21546 and 21565. First we will calculate the prime factors of 21546 and 21565.

Prime Factorization of 21546

Prime Factorization of 21565

Now multiplying the highest exponent prime factors to calculate the LCM of 21546 and 21565.

LCM(21546,21565) = 2¹ × 3⁴ × 7¹ × 19¹ × 5¹ × 227¹
LCM(21546,21565) = 24454710