What is the Least Common Multiple of 97066 and 97080?

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 97066 and 97080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97066 and 97080, than apply into the LCM equation.

GCF(97066,97080) = 2
LCM(97066,97080) = ( 97066 × 97080) / 2
LCM(97066,97080) = 9423167280 / 2
LCM(97066,97080) = 4711583640

Least Common Multiple (LCM) of 97066 and 97080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97066 and 97080. First we will calculate the prime factors of 97066 and 97080.

Prime Factorization of 97066

Prime Factorization of 97080

Now multiplying the highest exponent prime factors to calculate the LCM of 97066 and 97080.

LCM(97066,97080) = 2³ × 48533¹ × 3¹ × 5¹ × 809¹
LCM(97066,97080) = 4711583640