What is the Least Common Multiple of 87468 and 87488?

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 87468 and 87488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87468 and 87488, than apply into the LCM equation.

GCF(87468,87488) = 4
LCM(87468,87488) = ( 87468 × 87488) / 4
LCM(87468,87488) = 7652400384 / 4
LCM(87468,87488) = 1913100096

Least Common Multiple (LCM) of 87468 and 87488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87468 and 87488. First we will calculate the prime factors of 87468 and 87488.

Prime Factorization of 87468

Prime Factorization of 87488

Now multiplying the highest exponent prime factors to calculate the LCM of 87468 and 87488.

LCM(87468,87488) = 2⁶ × 3¹ × 37¹ × 197¹ × 1367¹
LCM(87468,87488) = 1913100096