What is the Least Common Multiple of 98120 and 98140?

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 98120 and 98140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98120 and 98140, than apply into the LCM equation.

GCF(98120,98140) = 20
LCM(98120,98140) = ( 98120 × 98140) / 20
LCM(98120,98140) = 9629496800 / 20
LCM(98120,98140) = 481474840

Least Common Multiple (LCM) of 98120 and 98140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98120 and 98140. First we will calculate the prime factors of 98120 and 98140.

Prime Factorization of 98120

Prime Factorization of 98140

Now multiplying the highest exponent prime factors to calculate the LCM of 98120 and 98140.

LCM(98120,98140) = 2³ × 5¹ × 11¹ × 223¹ × 7¹ × 701¹
LCM(98120,98140) = 481474840