What is the Least Common Multiple of 98473 and 98488?

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 98473 and 98488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98473 and 98488, than apply into the LCM equation.

GCF(98473,98488) = 1
LCM(98473,98488) = ( 98473 × 98488) / 1
LCM(98473,98488) = 9698408824 / 1
LCM(98473,98488) = 9698408824

Least Common Multiple (LCM) of 98473 and 98488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98473 and 98488. First we will calculate the prime factors of 98473 and 98488.

Prime Factorization of 98473

Prime Factorization of 98488

Now multiplying the highest exponent prime factors to calculate the LCM of 98473 and 98488.

LCM(98473,98488) = 98473¹ × 2³ × 13¹ × 947¹
LCM(98473,98488) = 9698408824