What is the Least Common Multiple of 87942 and 87948?

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 87942 and 87948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87942 and 87948, than apply into the LCM equation.

GCF(87942,87948) = 6
LCM(87942,87948) = ( 87942 × 87948) / 6
LCM(87942,87948) = 7734323016 / 6
LCM(87942,87948) = 1289053836

Least Common Multiple (LCM) of 87942 and 87948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87942 and 87948. First we will calculate the prime factors of 87942 and 87948.

Prime Factorization of 87942

Prime Factorization of 87948

Now multiplying the highest exponent prime factors to calculate the LCM of 87942 and 87948.

LCM(87942,87948) = 2² × 3² × 14657¹ × 7¹ × 349¹
LCM(87942,87948) = 1289053836