What is the Least Common Multiple of 66750 and 66767?

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 66767 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 66767, than apply into the LCM equation.

GCF(66750,66767) = 1
LCM(66750,66767) = ( 66750 × 66767) / 1
LCM(66750,66767) = 4456697250 / 1
LCM(66750,66767) = 4456697250

Least Common Multiple (LCM) of 66750 and 66767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66750 and 66767. First we will calculate the prime factors of 66750 and 66767.

Prime Factorization of 66750

Prime Factorization of 66767

Now multiplying the highest exponent prime factors to calculate the LCM of 66750 and 66767.

LCM(66750,66767) = 2¹ × 3¹ × 5³ × 89¹ × 179¹ × 373¹
LCM(66750,66767) = 4456697250