What is the Least Common Multiple of 21685 and 21704?

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 21685 and 21704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21685 and 21704, than apply into the LCM equation.

GCF(21685,21704) = 1
LCM(21685,21704) = ( 21685 × 21704) / 1
LCM(21685,21704) = 470651240 / 1
LCM(21685,21704) = 470651240

Least Common Multiple (LCM) of 21685 and 21704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21685 and 21704. First we will calculate the prime factors of 21685 and 21704.

Prime Factorization of 21685

Prime Factorization of 21704

Now multiplying the highest exponent prime factors to calculate the LCM of 21685 and 21704.

LCM(21685,21704) = 5¹ × 4337¹ × 2³ × 2713¹
LCM(21685,21704) = 470651240