What is the Least Common Multiple of 32374 and 32391?

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 32374 and 32391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32374 and 32391, than apply into the LCM equation.

GCF(32374,32391) = 1
LCM(32374,32391) = ( 32374 × 32391) / 1
LCM(32374,32391) = 1048626234 / 1
LCM(32374,32391) = 1048626234

Least Common Multiple (LCM) of 32374 and 32391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32374 and 32391. First we will calculate the prime factors of 32374 and 32391.

Prime Factorization of 32374

Prime Factorization of 32391

Now multiplying the highest exponent prime factors to calculate the LCM of 32374 and 32391.

LCM(32374,32391) = 2¹ × 16187¹ × 3² × 59¹ × 61¹
LCM(32374,32391) = 1048626234