What is the Least Common Multiple of 66574 and 66580?

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 66574 and 66580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66574 and 66580, than apply into the LCM equation.

GCF(66574,66580) = 2
LCM(66574,66580) = ( 66574 × 66580) / 2
LCM(66574,66580) = 4432496920 / 2
LCM(66574,66580) = 2216248460

Least Common Multiple (LCM) of 66574 and 66580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66574 and 66580. First we will calculate the prime factors of 66574 and 66580.

Prime Factorization of 66574

Prime Factorization of 66580

Now multiplying the highest exponent prime factors to calculate the LCM of 66574 and 66580.

LCM(66574,66580) = 2² × 33287¹ × 5¹ × 3329¹
LCM(66574,66580) = 2216248460