What is the Least Common Multiple of 97811 and 97828?

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 97811 and 97828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97811 and 97828, than apply into the LCM equation.

GCF(97811,97828) = 1
LCM(97811,97828) = ( 97811 × 97828) / 1
LCM(97811,97828) = 9568654508 / 1
LCM(97811,97828) = 9568654508

Least Common Multiple (LCM) of 97811 and 97828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97811 and 97828. First we will calculate the prime factors of 97811 and 97828.

Prime Factorization of 97811

Prime Factorization of 97828

Now multiplying the highest exponent prime factors to calculate the LCM of 97811 and 97828.

LCM(97811,97828) = 7¹ × 89¹ × 157¹ × 2² × 37¹ × 661¹
LCM(97811,97828) = 9568654508