What is the Least Common Multiple of 97443 and 97461?

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 97443 and 97461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97443 and 97461, than apply into the LCM equation.

GCF(97443,97461) = 9
LCM(97443,97461) = ( 97443 × 97461) / 9
LCM(97443,97461) = 9496892223 / 9
LCM(97443,97461) = 1055210247

Least Common Multiple (LCM) of 97443 and 97461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97443 and 97461. First we will calculate the prime factors of 97443 and 97461.

Prime Factorization of 97443

Prime Factorization of 97461

Now multiplying the highest exponent prime factors to calculate the LCM of 97443 and 97461.

LCM(97443,97461) = 3⁵ × 401¹ × 7² × 13¹ × 17¹
LCM(97443,97461) = 1055210247