What is the Least Common Multiple of 90780 and 90796?

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 90780 and 90796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90780 and 90796, than apply into the LCM equation.

GCF(90780,90796) = 4
LCM(90780,90796) = ( 90780 × 90796) / 4
LCM(90780,90796) = 8242460880 / 4
LCM(90780,90796) = 2060615220

Least Common Multiple (LCM) of 90780 and 90796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90780 and 90796. First we will calculate the prime factors of 90780 and 90796.

Prime Factorization of 90780

Prime Factorization of 90796

Now multiplying the highest exponent prime factors to calculate the LCM of 90780 and 90796.

LCM(90780,90796) = 2² × 3¹ × 5¹ × 17¹ × 89¹ × 22699¹
LCM(90780,90796) = 2060615220