What is the Least Common Multiple of 98874 and 98878?

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 98874 and 98878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98874 and 98878, than apply into the LCM equation.

GCF(98874,98878) = 2
LCM(98874,98878) = ( 98874 × 98878) / 2
LCM(98874,98878) = 9776463372 / 2
LCM(98874,98878) = 4888231686

Least Common Multiple (LCM) of 98874 and 98878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98874 and 98878. First we will calculate the prime factors of 98874 and 98878.

Prime Factorization of 98874

Prime Factorization of 98878

Now multiplying the highest exponent prime factors to calculate the LCM of 98874 and 98878.

LCM(98874,98878) = 2¹ × 3³ × 1831¹ × 13¹ × 3803¹
LCM(98874,98878) = 4888231686