What is the Least Common Multiple of 14991 and 15009?

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 14991 and 15009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14991 and 15009, than apply into the LCM equation.

GCF(14991,15009) = 3
LCM(14991,15009) = ( 14991 × 15009) / 3
LCM(14991,15009) = 224999919 / 3
LCM(14991,15009) = 74999973

Least Common Multiple (LCM) of 14991 and 15009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14991 and 15009. First we will calculate the prime factors of 14991 and 15009.

Prime Factorization of 14991

Prime Factorization of 15009

Now multiplying the highest exponent prime factors to calculate the LCM of 14991 and 15009.

LCM(14991,15009) = 3¹ × 19¹ × 263¹ × 5003¹
LCM(14991,15009) = 74999973