What is the Least Common Multiple of 87280 and 87285?

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 87280 and 87285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87280 and 87285, than apply into the LCM equation.

GCF(87280,87285) = 5
LCM(87280,87285) = ( 87280 × 87285) / 5
LCM(87280,87285) = 7618234800 / 5
LCM(87280,87285) = 1523646960

Least Common Multiple (LCM) of 87280 and 87285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87280 and 87285. First we will calculate the prime factors of 87280 and 87285.

Prime Factorization of 87280

Prime Factorization of 87285

Now multiplying the highest exponent prime factors to calculate the LCM of 87280 and 87285.

LCM(87280,87285) = 2⁴ × 5¹ × 1091¹ × 3¹ × 11¹ × 23²
LCM(87280,87285) = 1523646960