What is the Least Common Multiple of 99020 and 99034?

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 99020 and 99034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99020 and 99034, than apply into the LCM equation.

GCF(99020,99034) = 2
LCM(99020,99034) = ( 99020 × 99034) / 2
LCM(99020,99034) = 9806346680 / 2
LCM(99020,99034) = 4903173340

Least Common Multiple (LCM) of 99020 and 99034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99020 and 99034. First we will calculate the prime factors of 99020 and 99034.

Prime Factorization of 99020

Prime Factorization of 99034

Now multiplying the highest exponent prime factors to calculate the LCM of 99020 and 99034.

LCM(99020,99034) = 2² × 5¹ × 4951¹ × 13² × 293¹
LCM(99020,99034) = 4903173340