What is the Least Common Multiple of 94668 and 94673?

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 94668 and 94673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94668 and 94673, than apply into the LCM equation.

GCF(94668,94673) = 1
LCM(94668,94673) = ( 94668 × 94673) / 1
LCM(94668,94673) = 8962503564 / 1
LCM(94668,94673) = 8962503564

Least Common Multiple (LCM) of 94668 and 94673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94668 and 94673. First we will calculate the prime factors of 94668 and 94673.

Prime Factorization of 94668

Prime Factorization of 94673

Now multiplying the highest exponent prime factors to calculate the LCM of 94668 and 94673.

LCM(94668,94673) = 2² × 3¹ × 7³ × 23¹ × 17¹ × 5569¹
LCM(94668,94673) = 8962503564