What is the Least Common Multiple of 75665 and 75674?

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 75665 and 75674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75665 and 75674, than apply into the LCM equation.

GCF(75665,75674) = 1
LCM(75665,75674) = ( 75665 × 75674) / 1
LCM(75665,75674) = 5725873210 / 1
LCM(75665,75674) = 5725873210

Least Common Multiple (LCM) of 75665 and 75674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75665 and 75674. First we will calculate the prime factors of 75665 and 75674.

Prime Factorization of 75665

Prime Factorization of 75674

Now multiplying the highest exponent prime factors to calculate the LCM of 75665 and 75674.

LCM(75665,75674) = 5¹ × 37¹ × 409¹ × 2¹ × 157¹ × 241¹
LCM(75665,75674) = 5725873210