What is the Least Common Multiple of 91686 and 91706?

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 91686 and 91706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91686 and 91706, than apply into the LCM equation.

GCF(91686,91706) = 2
LCM(91686,91706) = ( 91686 × 91706) / 2
LCM(91686,91706) = 8408156316 / 2
LCM(91686,91706) = 4204078158

Least Common Multiple (LCM) of 91686 and 91706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91686 and 91706. First we will calculate the prime factors of 91686 and 91706.

Prime Factorization of 91686

Prime Factorization of 91706

Now multiplying the highest exponent prime factors to calculate the LCM of 91686 and 91706.

LCM(91686,91706) = 2¹ × 3¹ × 7¹ × 37¹ × 59¹ × 45853¹
LCM(91686,91706) = 4204078158