What is the Least Common Multiple of 58478 and 58485?

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 58478 and 58485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58478 and 58485, than apply into the LCM equation.

GCF(58478,58485) = 7
LCM(58478,58485) = ( 58478 × 58485) / 7
LCM(58478,58485) = 3420085830 / 7
LCM(58478,58485) = 488583690

Least Common Multiple (LCM) of 58478 and 58485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58478 and 58485. First we will calculate the prime factors of 58478 and 58485.

Prime Factorization of 58478

Prime Factorization of 58485

Now multiplying the highest exponent prime factors to calculate the LCM of 58478 and 58485.

LCM(58478,58485) = 2¹ × 7¹ × 4177¹ × 3¹ × 5¹ × 557¹
LCM(58478,58485) = 488583690