What is the Least Common Multiple of 87640 and 87648?

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 87640 and 87648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87640 and 87648, than apply into the LCM equation.

GCF(87640,87648) = 8
LCM(87640,87648) = ( 87640 × 87648) / 8
LCM(87640,87648) = 7681470720 / 8
LCM(87640,87648) = 960183840

Least Common Multiple (LCM) of 87640 and 87648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87640 and 87648. First we will calculate the prime factors of 87640 and 87648.

Prime Factorization of 87640

Prime Factorization of 87648

Now multiplying the highest exponent prime factors to calculate the LCM of 87640 and 87648.

LCM(87640,87648) = 2⁵ × 5¹ × 7¹ × 313¹ × 3¹ × 11¹ × 83¹
LCM(87640,87648) = 960183840