What is the Least Common Multiple of 35064 and 35074?

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 35064 and 35074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35064 and 35074, than apply into the LCM equation.

GCF(35064,35074) = 2
LCM(35064,35074) = ( 35064 × 35074) / 2
LCM(35064,35074) = 1229834736 / 2
LCM(35064,35074) = 614917368

Least Common Multiple (LCM) of 35064 and 35074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35064 and 35074. First we will calculate the prime factors of 35064 and 35074.

Prime Factorization of 35064

Prime Factorization of 35074

Now multiplying the highest exponent prime factors to calculate the LCM of 35064 and 35074.

LCM(35064,35074) = 2³ × 3² × 487¹ × 13¹ × 19¹ × 71¹
LCM(35064,35074) = 614917368