What is the Least Common Multiple of 90760 and 90778?

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 90778 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 90778, than apply into the LCM equation.

GCF(90760,90778) = 2
LCM(90760,90778) = ( 90760 × 90778) / 2
LCM(90760,90778) = 8239011280 / 2
LCM(90760,90778) = 4119505640

Least Common Multiple (LCM) of 90760 and 90778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90760 and 90778. First we will calculate the prime factors of 90760 and 90778.

Prime Factorization of 90760

Prime Factorization of 90778

Now multiplying the highest exponent prime factors to calculate the LCM of 90760 and 90778.

LCM(90760,90778) = 2³ × 5¹ × 2269¹ × 45389¹
LCM(90760,90778) = 4119505640