What is the Least Common Multiple of 97061 and 97079?

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 97061 and 97079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97061 and 97079, than apply into the LCM equation.

GCF(97061,97079) = 1
LCM(97061,97079) = ( 97061 × 97079) / 1
LCM(97061,97079) = 9422584819 / 1
LCM(97061,97079) = 9422584819

Least Common Multiple (LCM) of 97061 and 97079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97061 and 97079. First we will calculate the prime factors of 97061 and 97079.

Prime Factorization of 97061

Prime Factorization of 97079

Now multiplying the highest exponent prime factors to calculate the LCM of 97061 and 97079.

LCM(97061,97079) = 31² × 101¹ × 193¹ × 503¹
LCM(97061,97079) = 9422584819