What is the Least Common Multiple of 98938 and 98942?

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 98938 and 98942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98938 and 98942, than apply into the LCM equation.

GCF(98938,98942) = 2
LCM(98938,98942) = ( 98938 × 98942) / 2
LCM(98938,98942) = 9789123596 / 2
LCM(98938,98942) = 4894561798

Least Common Multiple (LCM) of 98938 and 98942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98938 and 98942. First we will calculate the prime factors of 98938 and 98942.

Prime Factorization of 98938

Prime Factorization of 98942

Now multiplying the highest exponent prime factors to calculate the LCM of 98938 and 98942.

LCM(98938,98942) = 2¹ × 7¹ × 37¹ × 191¹ × 61¹ × 811¹
LCM(98938,98942) = 4894561798