What is the Least Common Multiple of 99442 and 99460?

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 99442 and 99460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99442 and 99460, than apply into the LCM equation.

GCF(99442,99460) = 2
LCM(99442,99460) = ( 99442 × 99460) / 2
LCM(99442,99460) = 9890501320 / 2
LCM(99442,99460) = 4945250660

Least Common Multiple (LCM) of 99442 and 99460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99442 and 99460. First we will calculate the prime factors of 99442 and 99460.

Prime Factorization of 99442

Prime Factorization of 99460

Now multiplying the highest exponent prime factors to calculate the LCM of 99442 and 99460.

LCM(99442,99460) = 2² × 7¹ × 7103¹ × 5¹ × 4973¹
LCM(99442,99460) = 4945250660