What is the Least Common Multiple of 75478 and 75490?

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 75478 and 75490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75478 and 75490, than apply into the LCM equation.

GCF(75478,75490) = 2
LCM(75478,75490) = ( 75478 × 75490) / 2
LCM(75478,75490) = 5697834220 / 2
LCM(75478,75490) = 2848917110

Least Common Multiple (LCM) of 75478 and 75490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75478 and 75490. First we will calculate the prime factors of 75478 and 75490.

Prime Factorization of 75478

Prime Factorization of 75490

Now multiplying the highest exponent prime factors to calculate the LCM of 75478 and 75490.

LCM(75478,75490) = 2¹ × 13¹ × 2903¹ × 5¹ × 7549¹
LCM(75478,75490) = 2848917110