What is the Least Common Multiple of 99970 and 99990?

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 99970 and 99990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99970 and 99990, than apply into the LCM equation.

GCF(99970,99990) = 10
LCM(99970,99990) = ( 99970 × 99990) / 10
LCM(99970,99990) = 9996000300 / 10
LCM(99970,99990) = 999600030

Least Common Multiple (LCM) of 99970 and 99990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99970 and 99990. First we will calculate the prime factors of 99970 and 99990.

Prime Factorization of 99970

Prime Factorization of 99990

Now multiplying the highest exponent prime factors to calculate the LCM of 99970 and 99990.

LCM(99970,99990) = 2¹ × 5¹ × 13¹ × 769¹ × 3² × 11¹ × 101¹
LCM(99970,99990) = 999600030