What is the Least Common Multiple of 87398 and 87414?

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 87398 and 87414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87398 and 87414, than apply into the LCM equation.

GCF(87398,87414) = 2
LCM(87398,87414) = ( 87398 × 87414) / 2
LCM(87398,87414) = 7639808772 / 2
LCM(87398,87414) = 3819904386

Least Common Multiple (LCM) of 87398 and 87414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87398 and 87414. First we will calculate the prime factors of 87398 and 87414.

Prime Factorization of 87398

Prime Factorization of 87414

Now multiplying the highest exponent prime factors to calculate the LCM of 87398 and 87414.

LCM(87398,87414) = 2¹ × 89¹ × 491¹ × 3¹ × 17¹ × 857¹
LCM(87398,87414) = 3819904386