What is the Least Common Multiple of 90756 and 90760?

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 90756 and 90760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90756 and 90760, than apply into the LCM equation.

GCF(90756,90760) = 4
LCM(90756,90760) = ( 90756 × 90760) / 4
LCM(90756,90760) = 8237014560 / 4
LCM(90756,90760) = 2059253640

Least Common Multiple (LCM) of 90756 and 90760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90756 and 90760. First we will calculate the prime factors of 90756 and 90760.

Prime Factorization of 90756

Prime Factorization of 90760

Now multiplying the highest exponent prime factors to calculate the LCM of 90756 and 90760.

LCM(90756,90760) = 2³ × 3² × 2521¹ × 5¹ × 2269¹
LCM(90756,90760) = 2059253640