What is the Least Common Multiple of 98451 and 98462?

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 98451 and 98462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98451 and 98462, than apply into the LCM equation.

GCF(98451,98462) = 1
LCM(98451,98462) = ( 98451 × 98462) / 1
LCM(98451,98462) = 9693682362 / 1
LCM(98451,98462) = 9693682362

Least Common Multiple (LCM) of 98451 and 98462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98451 and 98462. First we will calculate the prime factors of 98451 and 98462.

Prime Factorization of 98451

Prime Factorization of 98462

Now multiplying the highest exponent prime factors to calculate the LCM of 98451 and 98462.

LCM(98451,98462) = 3² × 10939¹ × 2¹ × 7¹ × 13¹ × 541¹
LCM(98451,98462) = 9693682362