What is the Least Common Multiple of 90792 and 90802?

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 90792 and 90802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90792 and 90802, than apply into the LCM equation.

GCF(90792,90802) = 2
LCM(90792,90802) = ( 90792 × 90802) / 2
LCM(90792,90802) = 8244095184 / 2
LCM(90792,90802) = 4122047592

Least Common Multiple (LCM) of 90792 and 90802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90792 and 90802. First we will calculate the prime factors of 90792 and 90802.

Prime Factorization of 90792

Prime Factorization of 90802

Now multiplying the highest exponent prime factors to calculate the LCM of 90792 and 90802.

LCM(90792,90802) = 2³ × 3² × 13¹ × 97¹ × 83¹ × 547¹
LCM(90792,90802) = 4122047592