What is the Least Common Multiple of 21640 and 21649?

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 21640 and 21649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21640 and 21649, than apply into the LCM equation.

GCF(21640,21649) = 1
LCM(21640,21649) = ( 21640 × 21649) / 1
LCM(21640,21649) = 468484360 / 1
LCM(21640,21649) = 468484360

Least Common Multiple (LCM) of 21640 and 21649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21640 and 21649. First we will calculate the prime factors of 21640 and 21649.

Prime Factorization of 21640

Prime Factorization of 21649

Now multiplying the highest exponent prime factors to calculate the LCM of 21640 and 21649.

LCM(21640,21649) = 2³ × 5¹ × 541¹ × 21649¹
LCM(21640,21649) = 468484360