What is the Least Common Multiple of 21740 and 21749?

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 21740 and 21749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21740 and 21749, than apply into the LCM equation.

GCF(21740,21749) = 1
LCM(21740,21749) = ( 21740 × 21749) / 1
LCM(21740,21749) = 472823260 / 1
LCM(21740,21749) = 472823260

Least Common Multiple (LCM) of 21740 and 21749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21740 and 21749. First we will calculate the prime factors of 21740 and 21749.

Prime Factorization of 21740

Prime Factorization of 21749

Now multiplying the highest exponent prime factors to calculate the LCM of 21740 and 21749.

LCM(21740,21749) = 2² × 5¹ × 1087¹ × 7¹ × 13¹ × 239¹
LCM(21740,21749) = 472823260