What is the Least Common Multiple of 7035 and 7042?

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 7035 and 7042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7035 and 7042, than apply into the LCM equation.

GCF(7035,7042) = 7
LCM(7035,7042) = ( 7035 × 7042) / 7
LCM(7035,7042) = 49540470 / 7
LCM(7035,7042) = 7077210

Least Common Multiple (LCM) of 7035 and 7042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7035 and 7042. First we will calculate the prime factors of 7035 and 7042.

Prime Factorization of 7035

Prime Factorization of 7042

Now multiplying the highest exponent prime factors to calculate the LCM of 7035 and 7042.

LCM(7035,7042) = 3¹ × 5¹ × 7¹ × 67¹ × 2¹ × 503¹
LCM(7035,7042) = 7077210