What is the Least Common Multiple of 98749 and 98765?

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 98749 and 98765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98749 and 98765, than apply into the LCM equation.

GCF(98749,98765) = 1
LCM(98749,98765) = ( 98749 × 98765) / 1
LCM(98749,98765) = 9752944985 / 1
LCM(98749,98765) = 9752944985

Least Common Multiple (LCM) of 98749 and 98765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98749 and 98765. First we will calculate the prime factors of 98749 and 98765.

Prime Factorization of 98749

Prime Factorization of 98765

Now multiplying the highest exponent prime factors to calculate the LCM of 98749 and 98765.

LCM(98749,98765) = 7¹ × 14107¹ × 5¹ × 19753¹
LCM(98749,98765) = 9752944985