What is the Least Common Multiple of 91614 and 91632?

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 91614 and 91632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91614 and 91632, than apply into the LCM equation.

GCF(91614,91632) = 6
LCM(91614,91632) = ( 91614 × 91632) / 6
LCM(91614,91632) = 8394774048 / 6
LCM(91614,91632) = 1399129008

Least Common Multiple (LCM) of 91614 and 91632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91614 and 91632. First we will calculate the prime factors of 91614 and 91632.

Prime Factorization of 91614

Prime Factorization of 91632

Now multiplying the highest exponent prime factors to calculate the LCM of 91614 and 91632.

LCM(91614,91632) = 2⁴ × 3¹ × 15269¹ × 23¹ × 83¹
LCM(91614,91632) = 1399129008