What is the Least Common Multiple of 90630 and 90649?

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 90630 and 90649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90630 and 90649, than apply into the LCM equation.

GCF(90630,90649) = 19
LCM(90630,90649) = ( 90630 × 90649) / 19
LCM(90630,90649) = 8215518870 / 19
LCM(90630,90649) = 432395730

Least Common Multiple (LCM) of 90630 and 90649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90630 and 90649. First we will calculate the prime factors of 90630 and 90649.

Prime Factorization of 90630

Prime Factorization of 90649

Now multiplying the highest exponent prime factors to calculate the LCM of 90630 and 90649.

LCM(90630,90649) = 2¹ × 3² × 5¹ × 19¹ × 53¹ × 13¹ × 367¹
LCM(90630,90649) = 432395730