What is the Least Common Multiple of 32457 and 32477?

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 32457 and 32477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32457 and 32477, than apply into the LCM equation.

GCF(32457,32477) = 1
LCM(32457,32477) = ( 32457 × 32477) / 1
LCM(32457,32477) = 1054105989 / 1
LCM(32457,32477) = 1054105989

Least Common Multiple (LCM) of 32457 and 32477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32457 and 32477. First we will calculate the prime factors of 32457 and 32477.

Prime Factorization of 32457

Prime Factorization of 32477

Now multiplying the highest exponent prime factors to calculate the LCM of 32457 and 32477.

LCM(32457,32477) = 3¹ × 31¹ × 349¹ × 47¹ × 691¹
LCM(32457,32477) = 1054105989