What is the Least Common Multiple of 7458 and 7477?

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 7477 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 7477, than apply into the LCM equation.

GCF(7458,7477) = 1
LCM(7458,7477) = ( 7458 × 7477) / 1
LCM(7458,7477) = 55763466 / 1
LCM(7458,7477) = 55763466

Least Common Multiple (LCM) of 7458 and 7477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7458 and 7477. First we will calculate the prime factors of 7458 and 7477.

Prime Factorization of 7458

Prime Factorization of 7477

Now multiplying the highest exponent prime factors to calculate the LCM of 7458 and 7477.

LCM(7458,7477) = 2¹ × 3¹ × 11¹ × 113¹ × 7477¹
LCM(7458,7477) = 55763466