What is the Least Common Multiple of 98088 and 98104?

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 98088 and 98104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98088 and 98104, than apply into the LCM equation.

GCF(98088,98104) = 8
LCM(98088,98104) = ( 98088 × 98104) / 8
LCM(98088,98104) = 9622825152 / 8
LCM(98088,98104) = 1202853144

Least Common Multiple (LCM) of 98088 and 98104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98088 and 98104. First we will calculate the prime factors of 98088 and 98104.

Prime Factorization of 98088

Prime Factorization of 98104

Now multiplying the highest exponent prime factors to calculate the LCM of 98088 and 98104.

LCM(98088,98104) = 2³ × 3¹ × 61¹ × 67¹ × 12263¹
LCM(98088,98104) = 1202853144