What is the Least Common Multiple of 91656 and 91673?

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 91656 and 91673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91656 and 91673, than apply into the LCM equation.

GCF(91656,91673) = 1
LCM(91656,91673) = ( 91656 × 91673) / 1
LCM(91656,91673) = 8402380488 / 1
LCM(91656,91673) = 8402380488

Least Common Multiple (LCM) of 91656 and 91673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91656 and 91673. First we will calculate the prime factors of 91656 and 91673.

Prime Factorization of 91656

Prime Factorization of 91673

Now multiplying the highest exponent prime factors to calculate the LCM of 91656 and 91673.

LCM(91656,91673) = 2³ × 3² × 19¹ × 67¹ × 91673¹
LCM(91656,91673) = 8402380488