What is the Least Common Multiple of 74654 and 74674?

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 74654 and 74674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74654 and 74674, than apply into the LCM equation.

GCF(74654,74674) = 2
LCM(74654,74674) = ( 74654 × 74674) / 2
LCM(74654,74674) = 5574712796 / 2
LCM(74654,74674) = 2787356398

Least Common Multiple (LCM) of 74654 and 74674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74654 and 74674. First we will calculate the prime factors of 74654 and 74674.

Prime Factorization of 74654

Prime Factorization of 74674

Now multiplying the highest exponent prime factors to calculate the LCM of 74654 and 74674.

LCM(74654,74674) = 2¹ × 163¹ × 229¹ × 37337¹
LCM(74654,74674) = 2787356398