What is the Least Common Multiple of 32974 and 32983?

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 32974 and 32983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32974 and 32983, than apply into the LCM equation.

GCF(32974,32983) = 1
LCM(32974,32983) = ( 32974 × 32983) / 1
LCM(32974,32983) = 1087581442 / 1
LCM(32974,32983) = 1087581442

Least Common Multiple (LCM) of 32974 and 32983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32974 and 32983. First we will calculate the prime factors of 32974 and 32983.

Prime Factorization of 32974

Prime Factorization of 32983

Now multiplying the highest exponent prime factors to calculate the LCM of 32974 and 32983.

LCM(32974,32983) = 2¹ × 16487¹ × 32983¹
LCM(32974,32983) = 1087581442