What is the Least Common Multiple of 7075 and 7092?

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 7075 and 7092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7075 and 7092, than apply into the LCM equation.

GCF(7075,7092) = 1
LCM(7075,7092) = ( 7075 × 7092) / 1
LCM(7075,7092) = 50175900 / 1
LCM(7075,7092) = 50175900

Least Common Multiple (LCM) of 7075 and 7092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7075 and 7092. First we will calculate the prime factors of 7075 and 7092.

Prime Factorization of 7075

Prime Factorization of 7092

Now multiplying the highest exponent prime factors to calculate the LCM of 7075 and 7092.

LCM(7075,7092) = 5² × 283¹ × 2² × 3² × 197¹
LCM(7075,7092) = 50175900