What is the Least Common Multiple of 32774 and 32788?

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 32774 and 32788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32774 and 32788, than apply into the LCM equation.

GCF(32774,32788) = 14
LCM(32774,32788) = ( 32774 × 32788) / 14
LCM(32774,32788) = 1074593912 / 14
LCM(32774,32788) = 76756708

Least Common Multiple (LCM) of 32774 and 32788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32774 and 32788. First we will calculate the prime factors of 32774 and 32788.

Prime Factorization of 32774

Prime Factorization of 32788

Now multiplying the highest exponent prime factors to calculate the LCM of 32774 and 32788.

LCM(32774,32788) = 2² × 7¹ × 2341¹ × 1171¹
LCM(32774,32788) = 76756708