What is the Least Common Multiple of 75450 and 75460?

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 75450 and 75460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75450 and 75460, than apply into the LCM equation.

GCF(75450,75460) = 10
LCM(75450,75460) = ( 75450 × 75460) / 10
LCM(75450,75460) = 5693457000 / 10
LCM(75450,75460) = 569345700

Least Common Multiple (LCM) of 75450 and 75460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75450 and 75460. First we will calculate the prime factors of 75450 and 75460.

Prime Factorization of 75450

Prime Factorization of 75460

Now multiplying the highest exponent prime factors to calculate the LCM of 75450 and 75460.

LCM(75450,75460) = 2² × 3¹ × 5² × 503¹ × 7³ × 11¹
LCM(75450,75460) = 569345700