What is the Least Common Multiple of 98046 and 98050?

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 98046 and 98050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98046 and 98050, than apply into the LCM equation.

GCF(98046,98050) = 2
LCM(98046,98050) = ( 98046 × 98050) / 2
LCM(98046,98050) = 9613410300 / 2
LCM(98046,98050) = 4806705150

Least Common Multiple (LCM) of 98046 and 98050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98046 and 98050. First we will calculate the prime factors of 98046 and 98050.

Prime Factorization of 98046

Prime Factorization of 98050

Now multiplying the highest exponent prime factors to calculate the LCM of 98046 and 98050.

LCM(98046,98050) = 2¹ × 3² × 13¹ × 419¹ × 5² × 37¹ × 53¹
LCM(98046,98050) = 4806705150