What is the Least Common Multiple of 98272 and 98278?

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 98272 and 98278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98272 and 98278, than apply into the LCM equation.

GCF(98272,98278) = 2
LCM(98272,98278) = ( 98272 × 98278) / 2
LCM(98272,98278) = 9657975616 / 2
LCM(98272,98278) = 4828987808

Least Common Multiple (LCM) of 98272 and 98278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98272 and 98278. First we will calculate the prime factors of 98272 and 98278.

Prime Factorization of 98272

Prime Factorization of 98278

Now multiplying the highest exponent prime factors to calculate the LCM of 98272 and 98278.

LCM(98272,98278) = 2⁵ × 37¹ × 83¹ × 49139¹
LCM(98272,98278) = 4828987808