What is the Least Common Multiple of 98414 and 98430?

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 98414 and 98430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98414 and 98430, than apply into the LCM equation.

GCF(98414,98430) = 2
LCM(98414,98430) = ( 98414 × 98430) / 2
LCM(98414,98430) = 9686890020 / 2
LCM(98414,98430) = 4843445010

Least Common Multiple (LCM) of 98414 and 98430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98414 and 98430. First we will calculate the prime factors of 98414 and 98430.

Prime Factorization of 98414

Prime Factorization of 98430

Now multiplying the highest exponent prime factors to calculate the LCM of 98414 and 98430.

LCM(98414,98430) = 2¹ × 49207¹ × 3¹ × 5¹ × 17¹ × 193¹
LCM(98414,98430) = 4843445010