What is the Least Common Multiple of 90760 and 90779?

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 90779 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 90779, than apply into the LCM equation.

GCF(90760,90779) = 1
LCM(90760,90779) = ( 90760 × 90779) / 1
LCM(90760,90779) = 8239102040 / 1
LCM(90760,90779) = 8239102040

Least Common Multiple (LCM) of 90760 and 90779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90760 and 90779. First we will calculate the prime factors of 90760 and 90779.

Prime Factorization of 90760

Prime Factorization of 90779

Now multiplying the highest exponent prime factors to calculate the LCM of 90760 and 90779.

LCM(90760,90779) = 2³ × 5¹ × 2269¹ × 13¹ × 6983¹
LCM(90760,90779) = 8239102040