What is the Least Common Multiple of 7540 and 7549?

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 7540 and 7549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7540 and 7549, than apply into the LCM equation.

GCF(7540,7549) = 1
LCM(7540,7549) = ( 7540 × 7549) / 1
LCM(7540,7549) = 56919460 / 1
LCM(7540,7549) = 56919460

Least Common Multiple (LCM) of 7540 and 7549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7540 and 7549. First we will calculate the prime factors of 7540 and 7549.

Prime Factorization of 7540

Prime Factorization of 7549

Now multiplying the highest exponent prime factors to calculate the LCM of 7540 and 7549.

LCM(7540,7549) = 2² × 5¹ × 13¹ × 29¹ × 7549¹
LCM(7540,7549) = 56919460