What is the Least Common Multiple of 66501 and 66507?

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 66501 and 66507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66501 and 66507, than apply into the LCM equation.

GCF(66501,66507) = 3
LCM(66501,66507) = ( 66501 × 66507) / 3
LCM(66501,66507) = 4422782007 / 3
LCM(66501,66507) = 1474260669

Least Common Multiple (LCM) of 66501 and 66507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66501 and 66507. First we will calculate the prime factors of 66501 and 66507.

Prime Factorization of 66501

Prime Factorization of 66507

Now multiplying the highest exponent prime factors to calculate the LCM of 66501 and 66507.

LCM(66501,66507) = 3⁴ × 821¹ × 7¹ × 3167¹
LCM(66501,66507) = 1474260669