What is the Least Common Multiple of 87416 and 87434?

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 87416 and 87434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87416 and 87434, than apply into the LCM equation.

GCF(87416,87434) = 2
LCM(87416,87434) = ( 87416 × 87434) / 2
LCM(87416,87434) = 7643130544 / 2
LCM(87416,87434) = 3821565272

Least Common Multiple (LCM) of 87416 and 87434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87416 and 87434. First we will calculate the prime factors of 87416 and 87434.

Prime Factorization of 87416

Prime Factorization of 87434

Now multiplying the highest exponent prime factors to calculate the LCM of 87416 and 87434.

LCM(87416,87434) = 2³ × 7² × 223¹ × 43717¹
LCM(87416,87434) = 3821565272