What is the Least Common Multiple of 97105 and 97112?

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 97105 and 97112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97105 and 97112, than apply into the LCM equation.

GCF(97105,97112) = 1
LCM(97105,97112) = ( 97105 × 97112) / 1
LCM(97105,97112) = 9430060760 / 1
LCM(97105,97112) = 9430060760

Least Common Multiple (LCM) of 97105 and 97112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97105 and 97112. First we will calculate the prime factors of 97105 and 97112.

Prime Factorization of 97105

Prime Factorization of 97112

Now multiplying the highest exponent prime factors to calculate the LCM of 97105 and 97112.

LCM(97105,97112) = 5¹ × 19421¹ × 2³ × 61¹ × 199¹
LCM(97105,97112) = 9430060760