What is the Least Common Multiple of 58640 and 58649?

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 58640 and 58649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58640 and 58649, than apply into the LCM equation.

GCF(58640,58649) = 1
LCM(58640,58649) = ( 58640 × 58649) / 1
LCM(58640,58649) = 3439177360 / 1
LCM(58640,58649) = 3439177360

Least Common Multiple (LCM) of 58640 and 58649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58640 and 58649. First we will calculate the prime factors of 58640 and 58649.

Prime Factorization of 58640

Prime Factorization of 58649

Now multiplying the highest exponent prime factors to calculate the LCM of 58640 and 58649.

LCM(58640,58649) = 2⁴ × 5¹ × 733¹ × 223¹ × 263¹
LCM(58640,58649) = 3439177360