What is the Least Common Multiple of 75020 and 75035?

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 75020 and 75035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75020 and 75035, than apply into the LCM equation.

GCF(75020,75035) = 5
LCM(75020,75035) = ( 75020 × 75035) / 5
LCM(75020,75035) = 5629125700 / 5
LCM(75020,75035) = 1125825140

Least Common Multiple (LCM) of 75020 and 75035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75020 and 75035. First we will calculate the prime factors of 75020 and 75035.

Prime Factorization of 75020

Prime Factorization of 75035

Now multiplying the highest exponent prime factors to calculate the LCM of 75020 and 75035.

LCM(75020,75035) = 2² × 5¹ × 11² × 31¹ × 43¹ × 349¹
LCM(75020,75035) = 1125825140