What is the Least Common Multiple of 7012 and 7029?

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 7012 and 7029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7012 and 7029, than apply into the LCM equation.

GCF(7012,7029) = 1
LCM(7012,7029) = ( 7012 × 7029) / 1
LCM(7012,7029) = 49287348 / 1
LCM(7012,7029) = 49287348

Least Common Multiple (LCM) of 7012 and 7029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7012 and 7029. First we will calculate the prime factors of 7012 and 7029.

Prime Factorization of 7012

Prime Factorization of 7029

Now multiplying the highest exponent prime factors to calculate the LCM of 7012 and 7029.

LCM(7012,7029) = 2² × 1753¹ × 3² × 11¹ × 71¹
LCM(7012,7029) = 49287348