What is the Least Common Multiple of 49640 and 49645?

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 49640 and 49645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49640 and 49645, than apply into the LCM equation.

GCF(49640,49645) = 5
LCM(49640,49645) = ( 49640 × 49645) / 5
LCM(49640,49645) = 2464377800 / 5
LCM(49640,49645) = 492875560

Least Common Multiple (LCM) of 49640 and 49645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49640 and 49645. First we will calculate the prime factors of 49640 and 49645.

Prime Factorization of 49640

Prime Factorization of 49645

Now multiplying the highest exponent prime factors to calculate the LCM of 49640 and 49645.

LCM(49640,49645) = 2³ × 5¹ × 17¹ × 73¹ × 9929¹
LCM(49640,49645) = 492875560