What is the Least Common Multiple of 7564 and 7574?

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 7564 and 7574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7564 and 7574, than apply into the LCM equation.

GCF(7564,7574) = 2
LCM(7564,7574) = ( 7564 × 7574) / 2
LCM(7564,7574) = 57289736 / 2
LCM(7564,7574) = 28644868

Least Common Multiple (LCM) of 7564 and 7574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7564 and 7574. First we will calculate the prime factors of 7564 and 7574.

Prime Factorization of 7564

Prime Factorization of 7574

Now multiplying the highest exponent prime factors to calculate the LCM of 7564 and 7574.

LCM(7564,7574) = 2² × 31¹ × 61¹ × 7¹ × 541¹
LCM(7564,7574) = 28644868