What is the Least Common Multiple of 99972 and 99984?

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 99972 and 99984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99972 and 99984, than apply into the LCM equation.

GCF(99972,99984) = 12
LCM(99972,99984) = ( 99972 × 99984) / 12
LCM(99972,99984) = 9995600448 / 12
LCM(99972,99984) = 832966704

Least Common Multiple (LCM) of 99972 and 99984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99972 and 99984. First we will calculate the prime factors of 99972 and 99984.

Prime Factorization of 99972

Prime Factorization of 99984

Now multiplying the highest exponent prime factors to calculate the LCM of 99972 and 99984.

LCM(99972,99984) = 2⁴ × 3² × 2777¹ × 2083¹
LCM(99972,99984) = 832966704