What is the Least Common Multiple of 97068 and 97086?

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 97068 and 97086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97068 and 97086, than apply into the LCM equation.

GCF(97068,97086) = 6
LCM(97068,97086) = ( 97068 × 97086) / 6
LCM(97068,97086) = 9423943848 / 6
LCM(97068,97086) = 1570657308

Least Common Multiple (LCM) of 97068 and 97086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97068 and 97086. First we will calculate the prime factors of 97068 and 97086.

Prime Factorization of 97068

Prime Factorization of 97086

Now multiplying the highest exponent prime factors to calculate the LCM of 97068 and 97086.

LCM(97068,97086) = 2² × 3¹ × 8089¹ × 11¹ × 1471¹
LCM(97068,97086) = 1570657308