What is the Least Common Multiple of 98753 and 98770?

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 98753 and 98770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98753 and 98770, than apply into the LCM equation.

GCF(98753,98770) = 17
LCM(98753,98770) = ( 98753 × 98770) / 17
LCM(98753,98770) = 9753833810 / 17
LCM(98753,98770) = 573754930

Least Common Multiple (LCM) of 98753 and 98770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98753 and 98770. First we will calculate the prime factors of 98753 and 98770.

Prime Factorization of 98753

Prime Factorization of 98770

Now multiplying the highest exponent prime factors to calculate the LCM of 98753 and 98770.

LCM(98753,98770) = 17¹ × 37¹ × 157¹ × 2¹ × 5¹ × 7¹ × 83¹
LCM(98753,98770) = 573754930