What is the Least Common Multiple of 7458 and 7474?

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 7458 and 7474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7458 and 7474, than apply into the LCM equation.

GCF(7458,7474) = 2
LCM(7458,7474) = ( 7458 × 7474) / 2
LCM(7458,7474) = 55741092 / 2
LCM(7458,7474) = 27870546

Least Common Multiple (LCM) of 7458 and 7474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7458 and 7474. First we will calculate the prime factors of 7458 and 7474.

Prime Factorization of 7458

Prime Factorization of 7474

Now multiplying the highest exponent prime factors to calculate the LCM of 7458 and 7474.

LCM(7458,7474) = 2¹ × 3¹ × 11¹ × 113¹ × 37¹ × 101¹
LCM(7458,7474) = 27870546