What is the Least Common Multiple of 99030 and 99046?

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 99030 and 99046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99030 and 99046, than apply into the LCM equation.

GCF(99030,99046) = 2
LCM(99030,99046) = ( 99030 × 99046) / 2
LCM(99030,99046) = 9808525380 / 2
LCM(99030,99046) = 4904262690

Least Common Multiple (LCM) of 99030 and 99046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99030 and 99046. First we will calculate the prime factors of 99030 and 99046.

Prime Factorization of 99030

Prime Factorization of 99046

Now multiplying the highest exponent prime factors to calculate the LCM of 99030 and 99046.

LCM(99030,99046) = 2¹ × 3¹ × 5¹ × 3301¹ × 49523¹
LCM(99030,99046) = 4904262690