What is the Least Common Multiple of 49797 and 49803?

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 49797 and 49803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49797 and 49803, than apply into the LCM equation.

GCF(49797,49803) = 3
LCM(49797,49803) = ( 49797 × 49803) / 3
LCM(49797,49803) = 2480039991 / 3
LCM(49797,49803) = 826679997

Least Common Multiple (LCM) of 49797 and 49803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49797 and 49803. First we will calculate the prime factors of 49797 and 49803.

Prime Factorization of 49797

Prime Factorization of 49803

Now multiplying the highest exponent prime factors to calculate the LCM of 49797 and 49803.

LCM(49797,49803) = 3² × 11¹ × 503¹ × 13¹ × 1277¹
LCM(49797,49803) = 826679997