What is the Least Common Multiple of 98140 and 98144?

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 98140 and 98144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98140 and 98144, than apply into the LCM equation.

GCF(98140,98144) = 4
LCM(98140,98144) = ( 98140 × 98144) / 4
LCM(98140,98144) = 9631852160 / 4
LCM(98140,98144) = 2407963040

Least Common Multiple (LCM) of 98140 and 98144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98140 and 98144. First we will calculate the prime factors of 98140 and 98144.

Prime Factorization of 98140

Prime Factorization of 98144

Now multiplying the highest exponent prime factors to calculate the LCM of 98140 and 98144.

LCM(98140,98144) = 2⁵ × 5¹ × 7¹ × 701¹ × 3067¹
LCM(98140,98144) = 2407963040