What is the Least Common Multiple of 75450 and 75458?

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 75458 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 75458, than apply into the LCM equation.

GCF(75450,75458) = 2
LCM(75450,75458) = ( 75450 × 75458) / 2
LCM(75450,75458) = 5693306100 / 2
LCM(75450,75458) = 2846653050

Least Common Multiple (LCM) of 75450 and 75458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75450 and 75458. First we will calculate the prime factors of 75450 and 75458.

Prime Factorization of 75450

Prime Factorization of 75458

Now multiplying the highest exponent prime factors to calculate the LCM of 75450 and 75458.

LCM(75450,75458) = 2¹ × 3¹ × 5² × 503¹ × 29¹ × 1301¹
LCM(75450,75458) = 2846653050