What is the Least Common Multiple of 98670 and 98677?

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 98677 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 98677, than apply into the LCM equation.

GCF(98670,98677) = 1
LCM(98670,98677) = ( 98670 × 98677) / 1
LCM(98670,98677) = 9736459590 / 1
LCM(98670,98677) = 9736459590

Least Common Multiple (LCM) of 98670 and 98677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98670 and 98677. First we will calculate the prime factors of 98670 and 98677.

Prime Factorization of 98670

Prime Factorization of 98677

Now multiplying the highest exponent prime factors to calculate the LCM of 98670 and 98677.

LCM(98670,98677) = 2¹ × 3¹ × 5¹ × 11¹ × 13¹ × 23¹ × 101¹ × 977¹
LCM(98670,98677) = 9736459590