What is the Least Common Multiple of 98840 and 98854?

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 98840 and 98854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98840 and 98854, than apply into the LCM equation.

GCF(98840,98854) = 14
LCM(98840,98854) = ( 98840 × 98854) / 14
LCM(98840,98854) = 9770729360 / 14
LCM(98840,98854) = 697909240

Least Common Multiple (LCM) of 98840 and 98854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98840 and 98854. First we will calculate the prime factors of 98840 and 98854.

Prime Factorization of 98840

Prime Factorization of 98854

Now multiplying the highest exponent prime factors to calculate the LCM of 98840 and 98854.

LCM(98840,98854) = 2³ × 5¹ × 7¹ × 353¹ × 23¹ × 307¹
LCM(98840,98854) = 697909240