What is the Least Common Multiple of 90770 and 90786?

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 90770 and 90786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90770 and 90786, than apply into the LCM equation.

GCF(90770,90786) = 2
LCM(90770,90786) = ( 90770 × 90786) / 2
LCM(90770,90786) = 8240645220 / 2
LCM(90770,90786) = 4120322610

Least Common Multiple (LCM) of 90770 and 90786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90770 and 90786. First we will calculate the prime factors of 90770 and 90786.

Prime Factorization of 90770

Prime Factorization of 90786

Now multiplying the highest exponent prime factors to calculate the LCM of 90770 and 90786.

LCM(90770,90786) = 2¹ × 5¹ × 29¹ × 313¹ × 3¹ × 15131¹
LCM(90770,90786) = 4120322610