What is the Least Common Multiple of 90768 and 90780?

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 90768 and 90780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90768 and 90780, than apply into the LCM equation.

GCF(90768,90780) = 12
LCM(90768,90780) = ( 90768 × 90780) / 12
LCM(90768,90780) = 8239919040 / 12
LCM(90768,90780) = 686659920

Least Common Multiple (LCM) of 90768 and 90780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90768 and 90780. First we will calculate the prime factors of 90768 and 90780.

Prime Factorization of 90768

Prime Factorization of 90780

Now multiplying the highest exponent prime factors to calculate the LCM of 90768 and 90780.

LCM(90768,90780) = 2⁴ × 3¹ × 31¹ × 61¹ × 5¹ × 17¹ × 89¹
LCM(90768,90780) = 686659920