What is the Least Common Multiple of 93948 and 93962?

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 93948 and 93962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93948 and 93962, than apply into the LCM equation.

GCF(93948,93962) = 2
LCM(93948,93962) = ( 93948 × 93962) / 2
LCM(93948,93962) = 8827541976 / 2
LCM(93948,93962) = 4413770988

Least Common Multiple (LCM) of 93948 and 93962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93948 and 93962. First we will calculate the prime factors of 93948 and 93962.

Prime Factorization of 93948

Prime Factorization of 93962

Now multiplying the highest exponent prime factors to calculate the LCM of 93948 and 93962.

LCM(93948,93962) = 2² × 3¹ × 7829¹ × 11¹ × 4271¹
LCM(93948,93962) = 4413770988