What is the Least Common Multiple of 98088 and 98103?

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 98103 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 98103, than apply into the LCM equation.

GCF(98088,98103) = 3
LCM(98088,98103) = ( 98088 × 98103) / 3
LCM(98088,98103) = 9622727064 / 3
LCM(98088,98103) = 3207575688

Least Common Multiple (LCM) of 98088 and 98103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98088 and 98103. First we will calculate the prime factors of 98088 and 98103.

Prime Factorization of 98088

Prime Factorization of 98103

Now multiplying the highest exponent prime factors to calculate the LCM of 98088 and 98103.

LCM(98088,98103) = 2³ × 3¹ × 61¹ × 67¹ × 53¹ × 617¹
LCM(98088,98103) = 3207575688