What is the Least Common Multiple of 98952 and 98963?

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 98952 and 98963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98952 and 98963, than apply into the LCM equation.

GCF(98952,98963) = 1
LCM(98952,98963) = ( 98952 × 98963) / 1
LCM(98952,98963) = 9792586776 / 1
LCM(98952,98963) = 9792586776

Least Common Multiple (LCM) of 98952 and 98963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98952 and 98963. First we will calculate the prime factors of 98952 and 98963.

Prime Factorization of 98952

Prime Factorization of 98963

Now multiplying the highest exponent prime factors to calculate the LCM of 98952 and 98963.

LCM(98952,98963) = 2³ × 3¹ × 7¹ × 19¹ × 31¹ × 98963¹
LCM(98952,98963) = 9792586776