What is the Least Common Multiple of 98050 and 98054?

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 98050 and 98054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98050 and 98054, than apply into the LCM equation.

GCF(98050,98054) = 2
LCM(98050,98054) = ( 98050 × 98054) / 2
LCM(98050,98054) = 9614194700 / 2
LCM(98050,98054) = 4807097350

Least Common Multiple (LCM) of 98050 and 98054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98050 and 98054. First we will calculate the prime factors of 98050 and 98054.

Prime Factorization of 98050

Prime Factorization of 98054

Now multiplying the highest exponent prime factors to calculate the LCM of 98050 and 98054.

LCM(98050,98054) = 2¹ × 5² × 37¹ × 53¹ × 11¹ × 4457¹
LCM(98050,98054) = 4807097350