What is the Least Common Multiple of 98638 and 98656?

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 98638 and 98656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98638 and 98656, than apply into the LCM equation.

GCF(98638,98656) = 2
LCM(98638,98656) = ( 98638 × 98656) / 2
LCM(98638,98656) = 9731230528 / 2
LCM(98638,98656) = 4865615264

Least Common Multiple (LCM) of 98638 and 98656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98638 and 98656. First we will calculate the prime factors of 98638 and 98656.

Prime Factorization of 98638

Prime Factorization of 98656

Now multiplying the highest exponent prime factors to calculate the LCM of 98638 and 98656.

LCM(98638,98656) = 2⁵ × 149¹ × 331¹ × 3083¹
LCM(98638,98656) = 4865615264