What is the Least Common Multiple of 18640 and 18649?

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 18640 and 18649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18640 and 18649, than apply into the LCM equation.

GCF(18640,18649) = 1
LCM(18640,18649) = ( 18640 × 18649) / 1
LCM(18640,18649) = 347617360 / 1
LCM(18640,18649) = 347617360

Least Common Multiple (LCM) of 18640 and 18649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18640 and 18649. First we will calculate the prime factors of 18640 and 18649.

Prime Factorization of 18640

Prime Factorization of 18649

Now multiplying the highest exponent prime factors to calculate the LCM of 18640 and 18649.

LCM(18640,18649) = 2⁴ × 5¹ × 233¹ × 17¹ × 1097¹
LCM(18640,18649) = 347617360