What is the Least Common Multiple of 75453 and 75467?

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 75453 and 75467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75453 and 75467, than apply into the LCM equation.

GCF(75453,75467) = 7
LCM(75453,75467) = ( 75453 × 75467) / 7
LCM(75453,75467) = 5694211551 / 7
LCM(75453,75467) = 813458793

Least Common Multiple (LCM) of 75453 and 75467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75453 and 75467. First we will calculate the prime factors of 75453 and 75467.

Prime Factorization of 75453

Prime Factorization of 75467

Now multiplying the highest exponent prime factors to calculate the LCM of 75453 and 75467.

LCM(75453,75467) = 3¹ × 7¹ × 3593¹ × 10781¹
LCM(75453,75467) = 813458793