What is the Least Common Multiple of 87354 and 87374?

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 87354 and 87374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87354 and 87374, than apply into the LCM equation.

GCF(87354,87374) = 2
LCM(87354,87374) = ( 87354 × 87374) / 2
LCM(87354,87374) = 7632468396 / 2
LCM(87354,87374) = 3816234198

Least Common Multiple (LCM) of 87354 and 87374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87354 and 87374. First we will calculate the prime factors of 87354 and 87374.

Prime Factorization of 87354

Prime Factorization of 87374

Now multiplying the highest exponent prime factors to calculate the LCM of 87354 and 87374.

LCM(87354,87374) = 2¹ × 3² × 23¹ × 211¹ × 7¹ × 79²
LCM(87354,87374) = 3816234198