What is the Least Common Multiple of 87628 and 87640?

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 87628 and 87640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87628 and 87640, than apply into the LCM equation.

GCF(87628,87640) = 4
LCM(87628,87640) = ( 87628 × 87640) / 4
LCM(87628,87640) = 7679717920 / 4
LCM(87628,87640) = 1919929480

Least Common Multiple (LCM) of 87628 and 87640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87628 and 87640. First we will calculate the prime factors of 87628 and 87640.

Prime Factorization of 87628

Prime Factorization of 87640

Now multiplying the highest exponent prime factors to calculate the LCM of 87628 and 87640.

LCM(87628,87640) = 2³ × 19¹ × 1153¹ × 5¹ × 7¹ × 313¹
LCM(87628,87640) = 1919929480