What is the Least Common Multiple of 67574 and 67585?

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 67574 and 67585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67574 and 67585, than apply into the LCM equation.

GCF(67574,67585) = 1
LCM(67574,67585) = ( 67574 × 67585) / 1
LCM(67574,67585) = 4566988790 / 1
LCM(67574,67585) = 4566988790

Least Common Multiple (LCM) of 67574 and 67585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67574 and 67585. First we will calculate the prime factors of 67574 and 67585.

Prime Factorization of 67574

Prime Factorization of 67585

Now multiplying the highest exponent prime factors to calculate the LCM of 67574 and 67585.

LCM(67574,67585) = 2¹ × 13¹ × 23¹ × 113¹ × 5¹ × 7¹ × 1931¹
LCM(67574,67585) = 4566988790