What is the Least Common Multiple of 98040 and 98056?

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 98040 and 98056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98040 and 98056, than apply into the LCM equation.

GCF(98040,98056) = 8
LCM(98040,98056) = ( 98040 × 98056) / 8
LCM(98040,98056) = 9613410240 / 8
LCM(98040,98056) = 1201676280

Least Common Multiple (LCM) of 98040 and 98056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98040 and 98056. First we will calculate the prime factors of 98040 and 98056.

Prime Factorization of 98040

Prime Factorization of 98056

Now multiplying the highest exponent prime factors to calculate the LCM of 98040 and 98056.

LCM(98040,98056) = 2³ × 3¹ × 5¹ × 19¹ × 43¹ × 7¹ × 17¹ × 103¹
LCM(98040,98056) = 1201676280