What is the Least Common Multiple of 87032 and 87050?

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 87032 and 87050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87032 and 87050, than apply into the LCM equation.

GCF(87032,87050) = 2
LCM(87032,87050) = ( 87032 × 87050) / 2
LCM(87032,87050) = 7576135600 / 2
LCM(87032,87050) = 3788067800

Least Common Multiple (LCM) of 87032 and 87050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87032 and 87050. First we will calculate the prime factors of 87032 and 87050.

Prime Factorization of 87032

Prime Factorization of 87050

Now multiplying the highest exponent prime factors to calculate the LCM of 87032 and 87050.

LCM(87032,87050) = 2³ × 11¹ × 23¹ × 43¹ × 5² × 1741¹
LCM(87032,87050) = 3788067800