What is the Least Common Multiple of 90789 and 90801?

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 90789 and 90801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90789 and 90801, than apply into the LCM equation.

GCF(90789,90801) = 3
LCM(90789,90801) = ( 90789 × 90801) / 3
LCM(90789,90801) = 8243731989 / 3
LCM(90789,90801) = 2747910663

Least Common Multiple (LCM) of 90789 and 90801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90789 and 90801. First we will calculate the prime factors of 90789 and 90801.

Prime Factorization of 90789

Prime Factorization of 90801

Now multiplying the highest exponent prime factors to calculate the LCM of 90789 and 90801.

LCM(90789,90801) = 3⁴ × 53¹ × 571¹ × 19¹ × 59¹
LCM(90789,90801) = 2747910663