What is the Least Common Multiple of 98820 and 98840?

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 98820 and 98840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98820 and 98840, than apply into the LCM equation.

GCF(98820,98840) = 20
LCM(98820,98840) = ( 98820 × 98840) / 20
LCM(98820,98840) = 9767368800 / 20
LCM(98820,98840) = 488368440

Least Common Multiple (LCM) of 98820 and 98840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98820 and 98840. First we will calculate the prime factors of 98820 and 98840.

Prime Factorization of 98820

Prime Factorization of 98840

Now multiplying the highest exponent prime factors to calculate the LCM of 98820 and 98840.

LCM(98820,98840) = 2³ × 3⁴ × 5¹ × 61¹ × 7¹ × 353¹
LCM(98820,98840) = 488368440