What is the Least Common Multiple of 7054 and 7065?

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 7054 and 7065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7054 and 7065, than apply into the LCM equation.

GCF(7054,7065) = 1
LCM(7054,7065) = ( 7054 × 7065) / 1
LCM(7054,7065) = 49836510 / 1
LCM(7054,7065) = 49836510

Least Common Multiple (LCM) of 7054 and 7065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7054 and 7065. First we will calculate the prime factors of 7054 and 7065.

Prime Factorization of 7054

Prime Factorization of 7065

Now multiplying the highest exponent prime factors to calculate the LCM of 7054 and 7065.

LCM(7054,7065) = 2¹ × 3527¹ × 3² × 5¹ × 157¹
LCM(7054,7065) = 49836510