What is the Least Common Multiple of 97405 and 97412?

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 97405 and 97412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97405 and 97412, than apply into the LCM equation.

GCF(97405,97412) = 7
LCM(97405,97412) = ( 97405 × 97412) / 7
LCM(97405,97412) = 9488415860 / 7
LCM(97405,97412) = 1355487980

Least Common Multiple (LCM) of 97405 and 97412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97405 and 97412. First we will calculate the prime factors of 97405 and 97412.

Prime Factorization of 97405

Prime Factorization of 97412

Now multiplying the highest exponent prime factors to calculate the LCM of 97405 and 97412.

LCM(97405,97412) = 5¹ × 7³ × 11² × 23¹ × 2² × 71¹
LCM(97405,97412) = 1355487980