What is the Least Common Multiple of 87640 and 87659?

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 87659 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 87659, than apply into the LCM equation.

GCF(87640,87659) = 1
LCM(87640,87659) = ( 87640 × 87659) / 1
LCM(87640,87659) = 7682434760 / 1
LCM(87640,87659) = 7682434760

Least Common Multiple (LCM) of 87640 and 87659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87640 and 87659. First we will calculate the prime factors of 87640 and 87659.

Prime Factorization of 87640

Prime Factorization of 87659

Now multiplying the highest exponent prime factors to calculate the LCM of 87640 and 87659.

LCM(87640,87659) = 2³ × 5¹ × 7¹ × 313¹ × 11¹ × 13¹ × 613¹
LCM(87640,87659) = 7682434760