What is the Least Common Multiple of 91712 and 91729?

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 91712 and 91729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91712 and 91729, than apply into the LCM equation.

GCF(91712,91729) = 1
LCM(91712,91729) = ( 91712 × 91729) / 1
LCM(91712,91729) = 8412650048 / 1
LCM(91712,91729) = 8412650048

Least Common Multiple (LCM) of 91712 and 91729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91712 and 91729. First we will calculate the prime factors of 91712 and 91729.

Prime Factorization of 91712

Prime Factorization of 91729

Now multiplying the highest exponent prime factors to calculate the LCM of 91712 and 91729.

LCM(91712,91729) = 2⁶ × 1433¹ × 11¹ × 31¹ × 269¹
LCM(91712,91729) = 8412650048