What is the Least Common Multiple of 75052 and 75064?

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 75052 and 75064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75052 and 75064, than apply into the LCM equation.

GCF(75052,75064) = 4
LCM(75052,75064) = ( 75052 × 75064) / 4
LCM(75052,75064) = 5633703328 / 4
LCM(75052,75064) = 1408425832

Least Common Multiple (LCM) of 75052 and 75064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75052 and 75064. First we will calculate the prime factors of 75052 and 75064.

Prime Factorization of 75052

Prime Factorization of 75064

Now multiplying the highest exponent prime factors to calculate the LCM of 75052 and 75064.

LCM(75052,75064) = 2³ × 29¹ × 647¹ × 11¹ × 853¹
LCM(75052,75064) = 1408425832