What is the Least Common Multiple of 49805 and 49820?

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 49805 and 49820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49805 and 49820, than apply into the LCM equation.

GCF(49805,49820) = 5
LCM(49805,49820) = ( 49805 × 49820) / 5
LCM(49805,49820) = 2481285100 / 5
LCM(49805,49820) = 496257020

Least Common Multiple (LCM) of 49805 and 49820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49805 and 49820. First we will calculate the prime factors of 49805 and 49820.

Prime Factorization of 49805

Prime Factorization of 49820

Now multiplying the highest exponent prime factors to calculate the LCM of 49805 and 49820.

LCM(49805,49820) = 5¹ × 7¹ × 1423¹ × 2² × 47¹ × 53¹
LCM(49805,49820) = 496257020