What is the Least Common Multiple of 99446 and 99452?

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 99446 and 99452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99446 and 99452, than apply into the LCM equation.

GCF(99446,99452) = 2
LCM(99446,99452) = ( 99446 × 99452) / 2
LCM(99446,99452) = 9890103592 / 2
LCM(99446,99452) = 4945051796

Least Common Multiple (LCM) of 99446 and 99452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99446 and 99452. First we will calculate the prime factors of 99446 and 99452.

Prime Factorization of 99446

Prime Factorization of 99452

Now multiplying the highest exponent prime factors to calculate the LCM of 99446 and 99452.

LCM(99446,99452) = 2² × 19¹ × 2617¹ × 23² × 47¹
LCM(99446,99452) = 4945051796