What is the Least Common Multiple of 98860 and 98864?

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 98860 and 98864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98860 and 98864, than apply into the LCM equation.

GCF(98860,98864) = 4
LCM(98860,98864) = ( 98860 × 98864) / 4
LCM(98860,98864) = 9773695040 / 4
LCM(98860,98864) = 2443423760

Least Common Multiple (LCM) of 98860 and 98864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98860 and 98864. First we will calculate the prime factors of 98860 and 98864.

Prime Factorization of 98860

Prime Factorization of 98864

Now multiplying the highest exponent prime factors to calculate the LCM of 98860 and 98864.

LCM(98860,98864) = 2⁴ × 5¹ × 4943¹ × 37¹ × 167¹
LCM(98860,98864) = 2443423760