What is the Least Common Multiple of 84478 and 84488?

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 84478 and 84488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84478 and 84488, than apply into the LCM equation.

GCF(84478,84488) = 2
LCM(84478,84488) = ( 84478 × 84488) / 2
LCM(84478,84488) = 7137377264 / 2
LCM(84478,84488) = 3568688632

Least Common Multiple (LCM) of 84478 and 84488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84478 and 84488. First we will calculate the prime factors of 84478 and 84488.

Prime Factorization of 84478

Prime Factorization of 84488

Now multiplying the highest exponent prime factors to calculate the LCM of 84478 and 84488.

LCM(84478,84488) = 2³ × 42239¹ × 59¹ × 179¹
LCM(84478,84488) = 3568688632