What is the Least Common Multiple of 90760 and 90770?

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 90760 and 90770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90760 and 90770, than apply into the LCM equation.

GCF(90760,90770) = 10
LCM(90760,90770) = ( 90760 × 90770) / 10
LCM(90760,90770) = 8238285200 / 10
LCM(90760,90770) = 823828520

Least Common Multiple (LCM) of 90760 and 90770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90760 and 90770. First we will calculate the prime factors of 90760 and 90770.

Prime Factorization of 90760

Prime Factorization of 90770

Now multiplying the highest exponent prime factors to calculate the LCM of 90760 and 90770.

LCM(90760,90770) = 2³ × 5¹ × 2269¹ × 29¹ × 313¹
LCM(90760,90770) = 823828520