What is the Least Common Multiple of 98670 and 98688?

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 98670 and 98688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98670 and 98688, than apply into the LCM equation.

GCF(98670,98688) = 6
LCM(98670,98688) = ( 98670 × 98688) / 6
LCM(98670,98688) = 9737544960 / 6
LCM(98670,98688) = 1622924160

Least Common Multiple (LCM) of 98670 and 98688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98670 and 98688. First we will calculate the prime factors of 98670 and 98688.

Prime Factorization of 98670

Prime Factorization of 98688

Now multiplying the highest exponent prime factors to calculate the LCM of 98670 and 98688.

LCM(98670,98688) = 2⁷ × 3¹ × 5¹ × 11¹ × 13¹ × 23¹ × 257¹
LCM(98670,98688) = 1622924160