What is the Least Common Multiple of 98476 and 98483?

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 98476 and 98483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98476 and 98483, than apply into the LCM equation.

GCF(98476,98483) = 7
LCM(98476,98483) = ( 98476 × 98483) / 7
LCM(98476,98483) = 9698211908 / 7
LCM(98476,98483) = 1385458844

Least Common Multiple (LCM) of 98476 and 98483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98476 and 98483. First we will calculate the prime factors of 98476 and 98483.

Prime Factorization of 98476

Prime Factorization of 98483

Now multiplying the highest exponent prime factors to calculate the LCM of 98476 and 98483.

LCM(98476,98483) = 2² × 7¹ × 3517¹ × 11¹ × 1279¹
LCM(98476,98483) = 1385458844