What is the Least Common Multiple of 72050 and 72064?

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 72050 and 72064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72050 and 72064, than apply into the LCM equation.

GCF(72050,72064) = 2
LCM(72050,72064) = ( 72050 × 72064) / 2
LCM(72050,72064) = 5192211200 / 2
LCM(72050,72064) = 2596105600

Least Common Multiple (LCM) of 72050 and 72064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72050 and 72064. First we will calculate the prime factors of 72050 and 72064.

Prime Factorization of 72050

Prime Factorization of 72064

Now multiplying the highest exponent prime factors to calculate the LCM of 72050 and 72064.

LCM(72050,72064) = 2⁷ × 5² × 11¹ × 131¹ × 563¹
LCM(72050,72064) = 2596105600