What is the Least Common Multiple of 49090 and 49105?

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 49090 and 49105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49090 and 49105, than apply into the LCM equation.

GCF(49090,49105) = 5
LCM(49090,49105) = ( 49090 × 49105) / 5
LCM(49090,49105) = 2410564450 / 5
LCM(49090,49105) = 482112890

Least Common Multiple (LCM) of 49090 and 49105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49090 and 49105. First we will calculate the prime factors of 49090 and 49105.

Prime Factorization of 49090

Prime Factorization of 49105

Now multiplying the highest exponent prime factors to calculate the LCM of 49090 and 49105.

LCM(49090,49105) = 2¹ × 5¹ × 4909¹ × 7¹ × 23¹ × 61¹
LCM(49090,49105) = 482112890