What is the Least Common Multiple of 80966 and 80974?

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 80966 and 80974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80966 and 80974, than apply into the LCM equation.

GCF(80966,80974) = 2
LCM(80966,80974) = ( 80966 × 80974) / 2
LCM(80966,80974) = 6556140884 / 2
LCM(80966,80974) = 3278070442

Least Common Multiple (LCM) of 80966 and 80974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80966 and 80974. First we will calculate the prime factors of 80966 and 80974.

Prime Factorization of 80966

Prime Factorization of 80974

Now multiplying the highest exponent prime factors to calculate the LCM of 80966 and 80974.

LCM(80966,80974) = 2¹ × 40483¹ × 40487¹
LCM(80966,80974) = 3278070442