What is the Least Common Multiple of 87714 and 87734?

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 87714 and 87734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87714 and 87734, than apply into the LCM equation.

GCF(87714,87734) = 2
LCM(87714,87734) = ( 87714 × 87734) / 2
LCM(87714,87734) = 7695500076 / 2
LCM(87714,87734) = 3847750038

Least Common Multiple (LCM) of 87714 and 87734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87714 and 87734. First we will calculate the prime factors of 87714 and 87734.

Prime Factorization of 87714

Prime Factorization of 87734

Now multiplying the highest exponent prime factors to calculate the LCM of 87714 and 87734.

LCM(87714,87734) = 2¹ × 3² × 11¹ × 443¹ × 43867¹
LCM(87714,87734) = 3847750038