What is the Least Common Multiple of 57966 and 57973?

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 57966 and 57973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57966 and 57973, than apply into the LCM equation.

GCF(57966,57973) = 1
LCM(57966,57973) = ( 57966 × 57973) / 1
LCM(57966,57973) = 3360462918 / 1
LCM(57966,57973) = 3360462918

Least Common Multiple (LCM) of 57966 and 57973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57966 and 57973. First we will calculate the prime factors of 57966 and 57973.

Prime Factorization of 57966

Prime Factorization of 57973

Now multiplying the highest exponent prime factors to calculate the LCM of 57966 and 57973.

LCM(57966,57973) = 2¹ × 3¹ × 9661¹ × 57973¹
LCM(57966,57973) = 3360462918