What is the Least Common Multiple of 74034 and 74054?

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 74034 and 74054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74034 and 74054, than apply into the LCM equation.

GCF(74034,74054) = 2
LCM(74034,74054) = ( 74034 × 74054) / 2
LCM(74034,74054) = 5482513836 / 2
LCM(74034,74054) = 2741256918

Least Common Multiple (LCM) of 74034 and 74054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74034 and 74054. First we will calculate the prime factors of 74034 and 74054.

Prime Factorization of 74034

Prime Factorization of 74054

Now multiplying the highest exponent prime factors to calculate the LCM of 74034 and 74054.

LCM(74034,74054) = 2¹ × 3⁴ × 457¹ × 61¹ × 607¹
LCM(74034,74054) = 2741256918