What is the Least Common Multiple of 64666 and 64673?

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 64666 and 64673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64666 and 64673, than apply into the LCM equation.

GCF(64666,64673) = 7
LCM(64666,64673) = ( 64666 × 64673) / 7
LCM(64666,64673) = 4182144218 / 7
LCM(64666,64673) = 597449174

Least Common Multiple (LCM) of 64666 and 64673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64666 and 64673. First we will calculate the prime factors of 64666 and 64673.

Prime Factorization of 64666

Prime Factorization of 64673

Now multiplying the highest exponent prime factors to calculate the LCM of 64666 and 64673.

LCM(64666,64673) = 2¹ × 7¹ × 31¹ × 149¹ × 9239¹
LCM(64666,64673) = 597449174