What is the Least Common Multiple of 66750 and 66760?

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 66750 and 66760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66750 and 66760, than apply into the LCM equation.

GCF(66750,66760) = 10
LCM(66750,66760) = ( 66750 × 66760) / 10
LCM(66750,66760) = 4456230000 / 10
LCM(66750,66760) = 445623000

Least Common Multiple (LCM) of 66750 and 66760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66750 and 66760. First we will calculate the prime factors of 66750 and 66760.

Prime Factorization of 66750

Prime Factorization of 66760

Now multiplying the highest exponent prime factors to calculate the LCM of 66750 and 66760.

LCM(66750,66760) = 2³ × 3¹ × 5³ × 89¹ × 1669¹
LCM(66750,66760) = 445623000