What is the Least Common Multiple of 89905 and 89922?

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 89905 and 89922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89905 and 89922, than apply into the LCM equation.

GCF(89905,89922) = 1
LCM(89905,89922) = ( 89905 × 89922) / 1
LCM(89905,89922) = 8084437410 / 1
LCM(89905,89922) = 8084437410

Least Common Multiple (LCM) of 89905 and 89922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89905 and 89922. First we will calculate the prime factors of 89905 and 89922.

Prime Factorization of 89905

Prime Factorization of 89922

Now multiplying the highest exponent prime factors to calculate the LCM of 89905 and 89922.

LCM(89905,89922) = 5¹ × 17981¹ × 2¹ × 3¹ × 7¹ × 2141¹
LCM(89905,89922) = 8084437410