What is the Least Common Multiple of 98540 and 98560?

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 98540 and 98560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98540 and 98560, than apply into the LCM equation.

GCF(98540,98560) = 20
LCM(98540,98560) = ( 98540 × 98560) / 20
LCM(98540,98560) = 9712102400 / 20
LCM(98540,98560) = 485605120

Least Common Multiple (LCM) of 98540 and 98560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98540 and 98560. First we will calculate the prime factors of 98540 and 98560.

Prime Factorization of 98540

Prime Factorization of 98560

Now multiplying the highest exponent prime factors to calculate the LCM of 98540 and 98560.

LCM(98540,98560) = 2⁸ × 5¹ × 13¹ × 379¹ × 7¹ × 11¹
LCM(98540,98560) = 485605120