What is the Least Common Multiple of 87955 and 87960?

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 87955 and 87960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87955 and 87960, than apply into the LCM equation.

GCF(87955,87960) = 5
LCM(87955,87960) = ( 87955 × 87960) / 5
LCM(87955,87960) = 7736521800 / 5
LCM(87955,87960) = 1547304360

Least Common Multiple (LCM) of 87955 and 87960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87955 and 87960. First we will calculate the prime factors of 87955 and 87960.

Prime Factorization of 87955

Prime Factorization of 87960

Now multiplying the highest exponent prime factors to calculate the LCM of 87955 and 87960.

LCM(87955,87960) = 5¹ × 7² × 359¹ × 2³ × 3¹ × 733¹
LCM(87955,87960) = 1547304360