What is the Least Common Multiple of 98660 and 98679?

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 98660 and 98679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98660 and 98679, than apply into the LCM equation.

GCF(98660,98679) = 1
LCM(98660,98679) = ( 98660 × 98679) / 1
LCM(98660,98679) = 9735670140 / 1
LCM(98660,98679) = 9735670140

Least Common Multiple (LCM) of 98660 and 98679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98660 and 98679. First we will calculate the prime factors of 98660 and 98679.

Prime Factorization of 98660

Prime Factorization of 98679

Now multiplying the highest exponent prime factors to calculate the LCM of 98660 and 98679.

LCM(98660,98679) = 2² × 5¹ × 4933¹ × 3¹ × 7¹ × 37¹ × 127¹
LCM(98660,98679) = 9735670140