What is the Least Common Multiple of 89476 and 89488?

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 89476 and 89488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89476 and 89488, than apply into the LCM equation.

GCF(89476,89488) = 4
LCM(89476,89488) = ( 89476 × 89488) / 4
LCM(89476,89488) = 8007028288 / 4
LCM(89476,89488) = 2001757072

Least Common Multiple (LCM) of 89476 and 89488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89476 and 89488. First we will calculate the prime factors of 89476 and 89488.

Prime Factorization of 89476

Prime Factorization of 89488

Now multiplying the highest exponent prime factors to calculate the LCM of 89476 and 89488.

LCM(89476,89488) = 2⁴ × 22369¹ × 7¹ × 17¹ × 47¹
LCM(89476,89488) = 2001757072