What is the Least Common Multiple of 35074 and 35088?

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 35074 and 35088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35074 and 35088, than apply into the LCM equation.

GCF(35074,35088) = 2
LCM(35074,35088) = ( 35074 × 35088) / 2
LCM(35074,35088) = 1230676512 / 2
LCM(35074,35088) = 615338256

Least Common Multiple (LCM) of 35074 and 35088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35074 and 35088. First we will calculate the prime factors of 35074 and 35088.

Prime Factorization of 35074

Prime Factorization of 35088

Now multiplying the highest exponent prime factors to calculate the LCM of 35074 and 35088.

LCM(35074,35088) = 2⁴ × 13¹ × 19¹ × 71¹ × 3¹ × 17¹ × 43¹
LCM(35074,35088) = 615338256