What is the Least Common Multiple of 49890 and 49906?

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 49890 and 49906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49890 and 49906, than apply into the LCM equation.

GCF(49890,49906) = 2
LCM(49890,49906) = ( 49890 × 49906) / 2
LCM(49890,49906) = 2489810340 / 2
LCM(49890,49906) = 1244905170

Least Common Multiple (LCM) of 49890 and 49906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49890 and 49906. First we will calculate the prime factors of 49890 and 49906.

Prime Factorization of 49890

Prime Factorization of 49906

Now multiplying the highest exponent prime factors to calculate the LCM of 49890 and 49906.

LCM(49890,49906) = 2¹ × 3¹ × 5¹ × 1663¹ × 24953¹
LCM(49890,49906) = 1244905170