What is the Least Common Multiple of 7574 and 7579?

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 7574 and 7579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7574 and 7579, than apply into the LCM equation.

GCF(7574,7579) = 1
LCM(7574,7579) = ( 7574 × 7579) / 1
LCM(7574,7579) = 57403346 / 1
LCM(7574,7579) = 57403346

Least Common Multiple (LCM) of 7574 and 7579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7574 and 7579. First we will calculate the prime factors of 7574 and 7579.

Prime Factorization of 7574

Prime Factorization of 7579

Now multiplying the highest exponent prime factors to calculate the LCM of 7574 and 7579.

LCM(7574,7579) = 2¹ × 7¹ × 541¹ × 11¹ × 13¹ × 53¹
LCM(7574,7579) = 57403346