What is the Least Common Multiple of 98946 and 98956?

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 98946 and 98956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98946 and 98956, than apply into the LCM equation.

GCF(98946,98956) = 2
LCM(98946,98956) = ( 98946 × 98956) / 2
LCM(98946,98956) = 9791300376 / 2
LCM(98946,98956) = 4895650188

Least Common Multiple (LCM) of 98946 and 98956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98946 and 98956. First we will calculate the prime factors of 98946 and 98956.

Prime Factorization of 98946

Prime Factorization of 98956

Now multiplying the highest exponent prime factors to calculate the LCM of 98946 and 98956.

LCM(98946,98956) = 2² × 3² × 23¹ × 239¹ × 11¹ × 13¹ × 173¹
LCM(98946,98956) = 4895650188